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A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 50 nails and each large box has 400 nails. The contractor bought 3 times as many large boxes as small boxes, which altogether had 2500nails. Determine the number of small boxes purchased and the number of large boxes purchased.

 Mar 2, 2020
 #1
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Let  the  number of small  boxes =  S

So....the number of large  boxes   =  3S

 

So

 

S ( 50)  + 3S (  400)    =   2500    simplify

 

50S  +  1200S   =  2500

 

1250S   = 2500         divide though by 10

 

125S  = 250       divide  both sides  by  125

 

S =  2  = small boxes

 

3S  = large  boxes =  3(2)  =   6

 

 

cool cool cool

 Mar 2, 2020

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