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A sports shop imported some footballs and basketballs for $5,000. The selling price of a football is $40. The selling price of a basketball is 20% more than that of a football. Thereare 15 more basketballs than footballs. The total profit from the sales is $1,000. How many footballs are there?

 May 6, 2021
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If  the  total  profit  =  1000,  then  the total  sales  =  1000  + 5000  =  6000

 

If  the price of a football = 40, then the  price of a basketball  = 40 (1.20) = 48

 

And  the the number of  footballs  = F

 

So....the  number  of  basketballs =   F + 15

 

So

 

Number of footballs * cost each +  Number of basketballs  * cost each =  Total sales

 

F ( 40) +  (F + 15) (48)  =  6000   simplify

 

40F  + 48F  +  720  =  6000

 

88F  =  6000 -  720

 

88F  =  5280

 

F =  5280 / 88  =   60  (footballs)

 

cool cool cool

 May 6, 2021

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