Answer:
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
