Please help. I think this would be a easy question. I will definetly pick best answer. Thanks :D?

Question

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.

Thank you very much!

Answer 1

Let x be t shirts and y  be shorts

x=2y --- You get from the first sentence, as there are twice as many t-shirts

9x +14y = 256

Ending up with:

x=2y

9x + 14y = 256

Substitute "2x" for "y" in the lower equation

9(2y) + 14y = 256

18y + 14y = 256

32y = 256

y= 8

Plug 8 into original equation

x = 2(8)

x = 16

16 t-shirts and 8 shorts.

Answer 2

16 T-shirts

8 shorts

hope I helped:

16 x 9 = 144

8 x 14 = 112

= $256

Answer 3

First set up a system of equations:

t = 2s  --- You get this from the first sentence, since there are twice as many t-shirts, you have to double the shorts in order to make these amounts equal

9t +14s = 256 --- Pretty self explanatory...

Ending up with:

t = 2s

9t + 14s = 256

Substitute "2s" for "t" in the lower equation

9(2s) + 14s = 256

18s + 14s = 256

32s = 256

s= 8

Plug 8 back into either original equation

t = 2(8)

t = 16

16 t-shirts and 8 shorts.