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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 350 nails. The contractor bought 5 more large boxes large boxes than small boxes, which altogether had 2550 nails. Determine the number of small boxes purchased and the number of large boxes purchased.

Number of small boxes purchased : 2

Number of large boxes purchased : 5

Step-by-step explanation:

Let,

x be the number of small boxes of nails purchased

y be the number of large boxes of nails bought

Then according to given statement;

50x+350y = 2550     Eqn 1

y = x+5        Eqn 2

Putting value of y from Eqn 2 in Eqn 1

50x + 350(x+5) = 2550

50x + 350x + 1750 = 2550

400x = 2550-1750

400x = 800

Dividing both sides by 400

Putting x=2 in Eqn 2

y = 2+5

y = 7

Hence,

Number of small boxes purchased : 2

Number of large boxes purchased : 5