A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 200 nails and each large box has 500 nails. The contractor bought twice as many large boxes as small boxes, which altogether had 6000 nails. Determine the number of small boxes purchased and the number of large boxes purchased.

Question

Howard Chang

Mathematics

20 August, 11:31

A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 200 nails and each large box has 500 nails. The contractor bought twice as many large boxes as small boxes, which altogether had 6000 nails. Determine the number of small boxes purchased and the number of large boxes purchased.

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Answers (1)

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Maverick Hamilton · Answer 1

10 large boxes and 5 small boxes

Step-by-step explanation:

small box = 200n

large box = 500n

2 (500n) + 200n = 6000

1000n + 200n = 6000

1200n = 6000

n = 5

5 (200) = 1000

6000-1000 = 5000

5000 : 500 = 10

Since the contractor bought twice as many large boxes as small boxes, we can see 10 is twice as many as 5.