Question

The total price of a shirt and a cap is $11. 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 $25. The following system of equations models this scenario:

x + y = 11
2x + 3y = 25

What is the price of each shirt and cap?

Answer 1

shirt= $8

cap=$3

Explanation:

rearrange one of the equations

y=11-x

then plug into the other equation

2x+3(11-x)=25

solve

2x+33-3x=25

-x+33=25

subtract 33 from both sides

-x=-8

divide by -1

x=8

the put that answer into original equation

8+y=11

subtract 8 from both sides

y=3