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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.

Sagot :

absor201

Answer:

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

[tex]\frac{400x}{400}=\frac{800}{400}\\x=2[/tex]

Putting x=2 in Eqn 2

y = 2+5

y = 7

Hence,

Number of small boxes purchased : 2

Number of large boxes purchased : 5

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