Question

Hiro and Sofia purchased shirts and pants from a store. The price of each shirt purchased was the same and the price of

each pair of pants purchased was the same. Hiro purchased 4 shirts and 2 pairs of pants for $86, and Sofia purchased 3
shirts and 5 pairs of pants for $166. Which of the following systems of linear equations represents the situation, if x
represents the price, in dollars, of each shirt and y represents the price, in dollars, of each pair of pants?
A. 4x+2y=86
3x+5y=166

B. 4x+3y=86
2x+5y=166

C. 4x+2y=166
3x+5y=86

D.4x+3y=166
2x+5y=86

Answer 1

A.

Explanation:

Shirts = x

Pants = y

Hiro: 4x + 2y = 86

Sofia: 3x + 5y = 166

Answer 2

A

Explanation:
Hiro-> 4 shirts + 2 pants = $86
Sofia-> 3 shirts + 5 pants= $166

From the question, x=shirt and y= pants

So, Hiro-> 4x+2y=86
Sofia-> 3x+5y=166
Remove their name and you get the simultaneous equation.

4x+2y=86
3x+5y=166