The shop had a sale on shirts. Thursday they sold 75 of the marked down t-shirts for a total of $781.25. If the women’s shirts were on sale for $10.75 and the men’s shirts were on sale for $9.50.

Question

how many of each shirt sold on Thursday?

1. a.Write a system of equations that represents this information. 
2. b. Solve the system to find the number women’s shirts and the number of men’s shirts that were sold on Thursday. 

Answer 1

10.75W + 9.50M = 781.25

W + M = 75, multiply by 9.5

9.50W + 9.50M = 712.50

subtract last from 1st equation

1.25W = 68.75

W = 68.75/1.25 = 55 women's shirts

M = 75-55 = 20 men's shirts