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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 for25  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?

 

 

 

So first I find that he must have made 2100 dollars

 Apr 5, 2019
 #1
avatar+19873 
+3

Cost of shirts = 100 x 15 = 1500             Profit 600    total sales    2100

 

25 x   = first week's sale       20 (100-x) = second week's sale      added together = 2100

 

25x + 20(100-x) = 2100

5x +2000 = 2100

5x = 100

x = 20                  

 Apr 5, 2019
 #2
avatar+1015 
-3

2100 you would get in sales....

 

Hope This helps it is pretty simple but took alittle bit for me to get 

\Hope this Helps 

Nickolas  Apr 5, 2019
 #3
avatar+105180 
0

Let the number of shirts he sold the first week = x    and the number sold the second week = 100 - x

 

So we have      

 

[Sales] - [Cost] = Profit

 

[25x + 20(100 - x)] - [15 * 100]  = 600     simplify

 

25x + 2000 - 20x - 1500 = 600

 

5x + 500  = 600      subtract 500 from both sides

 

5x = 100          divide both sides by 5

 

x = 20 =   the number of shirts sold the first week

 

 

cool cool cool

 Apr 5, 2019

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