A clothing store sells a customer 3 T-shirts and 4 pairs of shorts for $72.

Another customer buys 4 T-shirts and 1 pair of shorts for $44. How much is

one T-shirt (t), and one pair of shorts (S)?

The price of one t- shirt = $ 8

& price for one pair of shorts = $ 12

Step-by-step explanation:

Let the cost of one T - shirt = x

And the cost of one pair of shorts = y

A clothing store sells a customer 3 T-shirts and 4 pairs of shorts for $72.

Thus equation becomes

3 x + 4 y = 72 (1)

Another customer buys 4 T-shirts and 1 pair of shorts for $44

Thus equation becomes

4 x + 1 y = 44 (2)

Multiply Equation (2) by 4 and subtract equation (1) from this equation (2)

⇒ 16 x + 4 y - 3 x - 4 y = 176 - 72

⇒ 13 x = 104

⇒ x = 8

Put this value of x in equation (1) we get

⇒ 3 × 8 + 4 y = 72

⇒ 4 y = 48

⇒ y = 12

Thus the price of one t- shirt = $ 8

& price for one pair of shorts = $ 12