Coach Carter has some money to buy identical sports shoes for his soccer team. If he buys 11 pairs of sports shoes, he will be short of $145. If he buys 8 pairs of such sports shoes, he will have $182 left. What is the total price of the 11 pairs of sports shoes?

whoppajuniors Aug 6, 2023

#1**+1 **

Let P be the true price of one pair of these shoes and let M be the amount of money he has

So we have these equations :

11P = M + 145 → M = 11P - 145 (1)

8P = M - 182 → M = 8P + 182 (2)

Equate (1) and (2)

11P - 145 = 8P + 182 rearrange as

11P - 8P = 182 + 145

3P = 327

P = 327/3 = $109 = the price of one pair

So 11 pair cost 11*109 = $1199

CPhill Aug 6, 2023