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Billy purchased 100 shirts at a cost of $15 each and planned to resell them. The first week he sold some of them for $25 each. The second week he sold the rest for $20 each. If his total profit was $600, how many shirts did he sell the first week?

 Mar 15, 2024

Best Answer 

 #1
avatar+1069 
+1

 

Billy purchased 100 shirts at a cost of $15 each and planned to resell them. The first week he sold some of them for $25 each. The second week he sold the rest for $20 each. If his total profit was $600, how many shirts did he sell the first week?  

 

            n  =  number of shirts sold the 1st week at $10 profit  

(100 – n)  =  number of shirts sold the 2nd week at $5 profit  

 

            [ 10 • (n) ]  +  [ 5 • (100 – n) ]  =  600    

 

                        10n + 500 – 5n  =  600  

 

                                            5n  =  100  

 

                                              n  =  20  shirts sold the first week  

 

check answer  

                                        20 shirts • 10 profit  =  200  

                                        80 shirts •   5 profit  =  400  

                                                      total profit  =  600  

.

 Mar 16, 2024
 #1
avatar+1069 
+1
Best Answer

 

Billy purchased 100 shirts at a cost of $15 each and planned to resell them. The first week he sold some of them for $25 each. The second week he sold the rest for $20 each. If his total profit was $600, how many shirts did he sell the first week?  

 

            n  =  number of shirts sold the 1st week at $10 profit  

(100 – n)  =  number of shirts sold the 2nd week at $5 profit  

 

            [ 10 • (n) ]  +  [ 5 • (100 – n) ]  =  600    

 

                        10n + 500 – 5n  =  600  

 

                                            5n  =  100  

 

                                              n  =  20  shirts sold the first week  

 

check answer  

                                        20 shirts • 10 profit  =  200  

                                        80 shirts •   5 profit  =  400  

                                                      total profit  =  600  

.

Bosco Mar 16, 2024

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