Question

The total price of a shirt and a cap is $12. If the price of the shirt was doubled and the price of the cap was three times its original price, the total price of a shirt and a cap would be $26. The following system of equations models this scenario:

x + y = 12
2x + 3y = 26

What is the price of each shirt and cap?

1 The price of a shirt is $7, and the price of a cap is $5.
2 The price of a shirt is $8, and the price of a cap is $4.
3 The price of a shirt is $9, and the price of a cap is $3.
4 The price of a shirt is $10, and the price of a cap is $2.

Answer 1

number 4

x+y=12
2x+3y =26

to find the price for caps you would isolate y

-2(x+y=12) = -2x-2y=-24

2x + 3y = 26
-2x -2y = 24

y = 2

Answer 2

Answer: Number 4 is the answer.

Hope this helps!