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Ron puts all his nails into 2 large boxes and 6 small boxes. There are 20 more nails in one large box than one small box. The number of nails in the 2 large boxes was 1/2 as many as the number of nails in the 6 small boxes. Find the number of nails in 1 large box. 

 Apr 14, 2021
 #1
avatar+180 
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https://web2.0calc.com/questions/mathematics-fractions

 Apr 14, 2021
 #2
avatar+121004 
+1

Let  the number   of nails  in a small box =  N

Then  the  number  in a large  box = N +  20

 

And we  know   that

 

The  number  in two large  boxes = (1/2)  the  number  in six small boxes....so....

 

2 * (N + 20)  = (1/2) (6N)         simplify

 

2N + 40   =  3N

 

40  =  3N - 2N

 

40  =  N  = the  number of nails ina  small  box

 

40  + 20  =  60   =  the  number of nails in alarge  box

 

 

cool cool cool

 Apr 14, 2021

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