Math Help!!! - GoFuckYourself.com

jennym · 08-11-2006, 07:30 PM

Ok, helping my kid with Honors Algebra 2. I must be fucking brain dead or something because a word problem is driving me nuts!! I can figure out the answer, but not the equation.

In an evening, a sporting goods store sold twice as many T-shirts as shorts. T-shirts are $9 each and shorts are $14 each. The total amount of money taken in for both items was $256. Find the number of each that was sold.

God I feel like an idiot. Never been stumped by a damn word problem before. Any help is mucho appreciated.

Ice · 08-11-2006, 07:33 PM

16 shirts and 8 shorts

Vasago Reno · 08-11-2006, 07:34 PM

When in doubt - drop back 10 yards - PUNT!

jennym · 08-11-2006, 07:35 PM

Quote:

Originally Posted by Ice

16 shirts and 8 shorts

I already know the answer. She has to have the algebraic equation. Thanks though.

aico · 08-11-2006, 07:36 PM

(2 * 9y) + 14x = 256

?

madleinx · 08-11-2006, 07:37 PM

9x +14y = 256
2x=y

Solve together....

Oh yeah, hi GFY

jennym · 08-11-2006, 07:38 PM

Quote:

Originally Posted by aico

(2 * 9y) + 14x = 256

?

This was the first thing I came up with, but doesn't seem right. I couldn't come up with a way to work it.

fr0gman · 08-11-2006, 07:44 PM

9x+14y=256

9 x 16= 144
14 x 8= 112

112+114=256

fr0gman · 08-11-2006, 07:45 PM

Wow that'll take you back 20 years.

jennym · 08-11-2006, 07:48 PM

Quote:

Originally Posted by fr0gman

Wow that'll take you back 20 years.

Yep...it definitely did that.

Quote:

Originally Posted by fr0gman

9x+14y=256

9 x 16= 144
14 x 8= 112

112+114=256

I know that much. Have to show how I came up with the 16 and the 8

llew · 08-11-2006, 07:50 PM

assume # of T-shirts sold as T and # of shorts sold as S

T=2S
9T+14S=256
plug in T=2S

9(2S)+14S=256
18S+14S=256
32S=256
S=8
T=2S=16

jennym · 08-11-2006, 07:53 PM

Quote:

Originally Posted by llew

assume # of T-shirts sold as T and # of shorts sold as S

T=2S
9T+14S=256
plug in T=2S

9(2S)+14S=256
18S+14S=256
32S=256
S=8
T=2S=16

I also came up with this. I was just wondering if I was missing something. Seems like there should be a single equation way to do it????

polle54 · 08-11-2006, 07:56 PM

Quote:

Originally Posted by jennym

I also came up with this. I was just wondering if I was missing something. Seems like there should be a single equation way to do it????

no this is the way to solve an eqaution with two unknown

fr0gman · 08-11-2006, 07:56 PM

Quote:

Originally Posted by llew

assume # of T-shirts sold as T and # of shorts sold as S

T=2S
9T+14S=256
plug in T=2S

9(2S)+14S=256
18S+14S=256
32S=256
S=8
T=2S=16

I was never very good at "showing my work". I do those steps unconsciously. It drove my teachers mad.

Why show your work if you can do it in your head?

jennym · 08-11-2006, 07:59 PM

Quote:

Originally Posted by polle54

no this is the way to solve an eqaution with two unknown

Ok...been a LONG time for me so I will take your word on this one.

Thanks for the help everyone.

marketsmart · 08-11-2006, 08:03 PM

you should do a search online for tutors... they have some that will help your child online.. not only will they help them figure it out, but they will show them how to come up with the answer...

"lead a child to water, but dont drink for them"....

evulvmedia · 08-11-2006, 08:05 PM

OK, here's how you do it:

Look at the problem. You know that the shop sold T-Shirts and Shorts. You get that just by looking at the words.

But you don't know how many were sold. So they are variables. Call them T (for the number of T-Shirts sold) and S (for the number of shorts sold).

T-Shirts cost $9 so the total money taken in from T-Shirt sales is $9 x T.

Shorts cost $14 so the total amount of money taken in from Shorts sales is $14 x S.

The total money taken in was $256, and this has to equal the total taken in T-Shirts plus the total taken in Shorts, so we have:

($9 x T) + ($14 x S) = $256

Now this has two unknowns so we can't solve it just yet. Instead, we need to look at the word problem for additional information... And there it is: That the store sold twice as many T-Shirts as Shorts. In equations, this is:

T = 2 x S

Now there are two equations in two unknowns, so you just solve. You can plug the value for T from the second equation into the spot where T is in the first:

($9 x 2 x S) + ($14 x S) = $256

simplify:

($9 x 2 + $14) x S = $256

S = $256 / ($9 x 2 + $14)

= $256 / ($18 + $14)

= $256 / $32

= 8

So the number of shorts sold was 8.

Now we can use the second equation to get the value for T.

T = 2 x S

= 2 x 8

= 16

So the number of T-shirts sold was 16.

Alex · 08-11-2006, 08:06 PM

Quote:

Originally Posted by jennym

Ok, helping my kid with Honors Algebra 2. I must be fucking brain dead or something because a word problem is driving me nuts!! I can figure out the answer, but not the equation.

In an evening, a sporting goods store sold twice as many T-shirts as shorts. T-shirts are $9 each and shorts are $14 each. The total amount of money taken in for both items was $256. Find the number of each that was sold.

God I feel like an idiot. Never been stumped by a damn word problem before. Any help is mucho appreciated.

Let x = amount of shirts
Let y = amount of shorts

2y =x

9x+14y = 256

9(2y)+14y=256
18y+14y=256
32y= 256
y=8
therfore x = 16

There you go.

jennym · 08-11-2006, 08:07 PM

Quote:

Originally Posted by marketsmart

you should do a search online for tutors... they have some that will help your child online.. not only will they help them figure it out, but they will show them how to come up with the answer...

"lead a child to water, but dont drink for them"....

She is in 10th grade...mostly honors classes...volleyball, basketball, track, and softball teams...NEVER made a B in her life. We were just stumped with this problem for some reason. Thank you though.

jennym · 08-11-2006, 08:09 PM

Thank you evulvmedia and Alex. That is kinda what I thought, but since it's been so long, wasn't sure if I was missing a way to do it with a single equation.

Thanks again.

jennym · 08-11-2006, 08:12 PM

I actually enjoyed trying to figure it out. She hasn't needed help in a loooong time. Only her 2nd day in Algebra 2 so she doesn't have it all the way down yet. I helped with most, but that one made my brain hurt.

marketsmart · 08-11-2006, 08:14 PM

Quote:

Originally Posted by jennym

She is in 10th grade...mostly honors classes...volleyball, basketball, track, and softball teams...NEVER made a B in her life. We were just stumped with this problem for some reason. Thank you though.

i wasnt trying to belittle your kid or your parenting skills... i was simple saying that there are online sources that might be more useful and have more benefit for your child than just getting the answer on a forum...

jennym · 08-11-2006, 08:21 PM

Quote:

Originally Posted by marketsmart

i wasnt trying to belittle your kid or your parenting skills... i was simple saying that there are online sources that might be more useful and have more benefit for your child than just getting the answer on a forum...

That's cool...I'm just saying with straight A's all her life, she doesn't really need tutoring. Just had an issue with 1 problem on the 2nd day of class. Getting this 1 answer on a forum isn't gonna ruin her education. It taught us (reminded me) how to work similar problems in the future.

jennym · 08-11-2006, 08:25 PM

marketsmart - I will say that I agree with you 10000% though...I know what you mean. I don't DO the work for my kids. I help them to understand better, but they have to know what they are doing. It will do them NO good if I just do everything for them. Trust me though, she does most things on her own, and works her ass off for her grades.

Alex · 08-11-2006, 08:26 PM

Quote:

Originally Posted by jennym

Thank you evulvmedia and Alex. That is kinda what I thought, but since it's been so long, wasn't sure if I was missing a way to do it with a single equation.

Thanks again.

I just got out of high school years back.
So its still fresh.

Trust me at 40+ (or however young you are now

) you tend not to care about this shit and therefore you forget.

jennym · 08-11-2006, 08:35 PM

Quote:

Originally Posted by Alex

I just got out of high school years back.
So its still fresh.

Exactly why I came here...plenty of youngin's

Quote:

Originally Posted by Alex

Trust me at 40+ (or however young you are now

) you tend not to care about this shit and therefore you forget.

The thing is, I had NO problem coming up with the answer. Damn teachers and the whole "show your work" thing killed me. Couldn't remember to save my life...lol.

madleinx · 08-11-2006, 08:47 PM

Quote:

Originally Posted by jennym

since it's been so long, wasn't sure if I was missing a way to do it with a single equation.

Thanks again.

Nope, 2 variables = 2 equations
3 variables = 3 equations, etc.

Next time can we only go back 10 years instead?

jennym · 08-11-2006, 08:50 PM

Quote:

Originally Posted by justmarie

Next time can we only go back 10 years instead?

works for me

08-11-2006, 07:30 PM	#1
jennym Confirmed User Join Date: May 2003 Location: the south Posts: 1,622	Math Help!!! Ok, helping my kid with Honors Algebra 2. I must be fucking brain dead or something because a word problem is driving me nuts!! I can figure out the answer, but not the equation. In an evening, a sporting goods store sold twice as many T-shirts as shorts. T-shirts are $9 each and shorts are $14 each. The total amount of money taken in for both items was $256. Find the number of each that was sold. God I feel like an idiot. Never been stumped by a damn word problem before. Any help is mucho appreciated.

08-11-2006, 07:33 PM	#2
Ice Confirmed User Join Date: Nov 2002 Location: Sunny California Posts: 26,053	16 shirts and 8 shorts __________________ icq 1904905

08-11-2006, 07:44 PM	#8
fr0gman Confirmed User Join Date: Feb 2005 Posts: 2,093	9x+14y=256 9 x 16= 144 14 x 8= 112 112+114=256 __________________ Earn up to $.03 per Visitor -> No Click Monetization! "Because the World Wide Web is all about two things: horrifyingly stupid psychodrama, and naked chicks." Wild College Videos \| ICQ: 7746696

08-11-2006, 07:45 PM	#9
fr0gman Confirmed User Join Date: Feb 2005 Posts: 2,093	Wow that'll take you back 20 years. __________________ Earn up to $.03 per Visitor -> No Click Monetization! "Because the World Wide Web is all about two things: horrifyingly stupid psychodrama, and naked chicks." Wild College Videos \| ICQ: 7746696

08-11-2006, 07:34 PM	#3
Vasago Reno So Fucking Banned Join Date: Mar 2006 Posts: 483	When in doubt - drop back 10 yards - PUNT!

08-11-2006, 07:36 PM	#5
aico Moo Moo Cow Join Date: Mar 2004 Location: Washington State Posts: 14,748	(2 * 9y) + 14x = 256 ?

08-11-2006, 07:37 PM	#6
madleinx Confirmed User Join Date: Feb 2005 Location: Refugee Posts: 102	9x +14y = 256 2x=y Solve together.... Oh yeah, hi GFY

08-11-2006, 07:50 PM	#11
llew Registered User Join Date: Nov 2003 Location: Los Angeles, CA Posts: 81	assume # of T-shirts sold as T and # of shorts sold as S T=2S 9T+14S=256 plug in T=2S 9(2S)+14S=256 18S+14S=256 32S=256 S=8 T=2S=16

08-11-2006, 08:03 PM	#16
marketsmart HOMICIDAL TROLL KILLER Industry Role: Join Date: Dec 2004 Location: Sunnybrook Institution for the Criminally Insane Posts: 20,419	you should do a search online for tutors... they have some that will help your child online.. not only will they help them figure it out, but they will show them how to come up with the answer... "lead a child to water, but dont drink for them"....

08-11-2006, 08:05 PM	#17
evulvmedia Confirmed User Industry Role: Join Date: Jun 2006 Posts: 441	OK, here's how you do it: Look at the problem. You know that the shop sold T-Shirts and Shorts. You get that just by looking at the words. But you don't know how many were sold. So they are variables. Call them T (for the number of T-Shirts sold) and S (for the number of shorts sold). T-Shirts cost $9 so the total money taken in from T-Shirt sales is $9 x T. Shorts cost $14 so the total amount of money taken in from Shorts sales is $14 x S. The total money taken in was $256, and this has to equal the total taken in T-Shirts plus the total taken in Shorts, so we have: ($9 x T) + ($14 x S) = $256 Now this has two unknowns so we can't solve it just yet. Instead, we need to look at the word problem for additional information... And there it is: That the store sold twice as many T-Shirts as Shorts. In equations, this is: T = 2 x S Now there are two equations in two unknowns, so you just solve. You can plug the value for T from the second equation into the spot where T is in the first: ($9 x 2 x S) + ($14 x S) = $256 simplify: ($9 x 2 + $14) x S = $256 S = $256 / ($9 x 2 + $14) = $256 / ($18 + $14) = $256 / $32 = 8 So the number of shorts sold was 8. Now we can use the second equation to get the value for T. T = 2 x S = 2 x 8 = 16 So the number of T-shirts sold was 16.

08-11-2006, 08:09 PM	#20
jennym Confirmed User Join Date: May 2003 Location: the south Posts: 1,622	Thank you evulvmedia and Alex. That is kinda what I thought, but since it's been so long, wasn't sure if I was missing a way to do it with a single equation. Thanks again.

08-11-2006, 08:12 PM	#21
jennym Confirmed User Join Date: May 2003 Location: the south Posts: 1,622	I actually enjoyed trying to figure it out. She hasn't needed help in a loooong time. Only her 2nd day in Algebra 2 so she doesn't have it all the way down yet. I helped with most, but that one made my brain hurt.

08-11-2006, 08:25 PM	#24
jennym Confirmed User Join Date: May 2003 Location: the south Posts: 1,622	marketsmart - I will say that I agree with you 10000% though...I know what you mean. I don't DO the work for my kids. I help them to understand better, but they have to know what they are doing. It will do them NO good if I just do everything for them. Trust me though, she does most things on her own, and works her ass off for her grades.