Question

Tiffany and Monique heard that a clothing store was having a sale on shirts and shorts . All the shirts, , were priced the same and all the pair of shorts , y, were priced the same Tiffany paid $48 for 2 shirts and 4 pairs of shorts . Monique paid $62 for 5 shirts and 2 pairs of shorts. (Questions in picture)

Answer 1

Explanation:

1) 2x + 4y = 48

2) 5x + 2y = 62

3) solve equation 1 for x:

2x = 48 - 4y

x = 24 - 2y substitute this into equation 2 and solve for y:

5(24 - 2y) + 2y = 62

120 - 10y + 2y = 62

120 - 8y = 62

-8y = -58

y = -58/-8 = 7.25

x = 24 - 2(7.25) = 9.50

1 pair shorts costs $7.25

1 T-shirt costs $9.50

4) 7.25x + 9.50y = 67

By trial and error:

2 shorts + 2 shirts = 14.50 + 19 = 33.50

3 shorts + 3 shirts = 21.75 + 28.50 = 50.25

4 shorts + 4 shirts = 29.00 + 38.00 = 67

7.25(4) + 4(9.50) = 67

Answer is 4 shirts and 4 pairs of shorts