Question

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 and each large box has 400 nails. The contractor bought 2 more small boxes than large boxes, which altogether had 1950 nails. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.

Answer 1

The system 150x+400y=1950 and x = y+2 could be used to determine the number of small boxes and large boxes ordered where x represents the number of small boxes and y represent the number of large boxes.

Step-by-step explanation:

Given,

Number of nails in small box = 150 nails

Number of nails in large box = 400 nails

Total nails in ordered boxes = 1950 nails

Let,

x be the number of small boxes ordered.

y be the number of large boxes ordered.

According to given statement;

150x+400y=1950          Eqn 1

The contractor bought 2 more small boxes than large boxes

x = y+2                           Eqn 2

The system 150x+400y=1950 and x = y+2 could be used to determine the number of small boxes and large boxes ordered where x represents the number of small boxes and y represent the number of large boxes.

Keywords: linear equation, substitution method

Learn more about linear equations at:

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