Share

## Two brothers went shopping at a back to school sale where all shirts and shorts are the same price. The younger brother spent $175 on 7 new

Question

Two brothers went shopping at a back to school sale where all shirts and shorts are the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. Write the system of equations for this problem.

in progress
0

Mathematics
5 months
2021-08-26T01:05:20+00:00
2021-08-26T01:05:20+00:00 2 Answers
1 views
0
## Answers ( )

Answer:Each shirt costs $ 10, while each short costs $ 15.

Step-by-step explanation:Since two brothers went shopping at a back to school sale where all shirts and shorts are the same price, and the younger brother spent $ 175 on 7 new shirts and 7 pairs of shorts while the older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $ 165, to determine the price of each shorts and each shirt the following system of equations must be considered:

Shirt = X

Short = Y

7X + 7Y = 175

6X + 7Y = 165

7X – 6X + 7Y – 7Y = 175-165

X = 10

7×10 + 7Y = 175

70 + 7Y = 175

7Y = 175 – 70

Y = 105/7

Y = 15

Thus, each shirt costs $ 10, while each short costs $ 15.

Answer:3x + 4y =108

7x + 5y =114