Question

Jazmin and Justine went shopping for back-to-school clothes. Jazmin purchased three shirts and one pair of shorts and spent $38.00. Justine bought four shirts and three pairs of shorts and spent $71.50.

Assuming all the shirts cost the same amount and all the shorts cost the same amount, write a system of equations to represent each girl's shopping spree.

Answer 1

A system of equations to represent Jazmin and Justine's shopping spree would be 3s + h = 38 for Jazmin's purchases and 4s + 3h = 71.50 for Justine's purchases, where s is the cost of one shirt and h is the cost of one pair of shorts.

Step-by-step explanation:

To represent Jazmin and Justine's shopping spree using a system of equations, let's assign variables to the unknowns. Let s be the cost of one shirt and h be the cost of one pair of shorts. According to the problem, Jazmin purchased three shirts and one pair of shorts and spent $38.00, so the first equation is:

3s + h = 38

Justine bought four shirts and three pairs of shorts and spent $71.50, which gives us the second equation:

4s + 3h = 71.50

We now have a system of linear equations:

• 3s + h = 38
• 4s + 3h = 71.50

To solve the system, we can use methods such as substitution, elimination, or graphing to find the values of s and h, which represent the cost of a shirt and the cost of shorts, respectively.