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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?

 Aug 6, 2023
 #1
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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

 

 

cool cool cool

 Aug 6, 2023

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