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xxTIMURxx [149]
2 years ago
11

A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 150 nails an

d each large box has 400 nails. The contractor bought 3 times as many large boxes as small boxes, which altogether had 2700 nails. Determine the number of small boxes purchased and the number of large boxes purchased.
Mathematics
1 answer:
xeze [42]2 years ago
8 0

Answer:

The number of small and large boxes purchased are:

  • 2 small boxes.
  • 6 large boxes.

Step-by-step explanation:

To solve the unknowns, two equations must be established with the information provided:

  1. 150X + 400Y = 2700 (the price of the boxes and the final number of nails, where X is the small boxes and Y the large boxes)
  2. Y = 3X (Large boxes are triple the small ones)

Then equation 2 is replaced in equation one and variable X is cleared:

  • 150X + 400 (3X) = 2700
  • 150X + 1200X = 2700
  • 1350X = 2700
  • X = 2700/1350
  • <u>X = 2 </u>

Finally, the value of X is replaced in equation 2 to find the number of large boxes:

  • Y = 3X
  • Y = 3 (2)
  • <u>Y = 6</u>
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