Question

Jasmine buys 3 T-Shirts and 3 Hats for $11.25. The next day, he buys 4 T-Shirts and 2 Hats for $10. How much does each T-Shirt and each Hat cost? Write a system of equations that can be used to solve the problem. Then solve the problem.

Answer 1

Answer: Each shirt costs $1.25, and each hat costs $2.5.

Explanation:

Let x= Cost per T-shirt, y = Cost per Hat.

As per given,

3x+3y=11.25 (i)

4x+2y=10 (ii)

Multiply 4 to equation (i)

12x+12y=45 (iii)

12x+6y= 30 (iv)

Eliminate (iv) from (iii), we get

6y= 15

⇒ y = 2.5

Put value of y in (i)

3x+3(2.5)=11.25

⇒3x+7.5=11.25

⇒3x= 3.75

⇒x= 1.25

Hence, each shirt costs $1.25, and each hat costs $2.5.