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. Let = Let = System of Equations: Submit Anciner W

Answer 1

Answer:

The system of equations is:

p = q + 2

150p + 400q = 1950

Where p is the number of small boxes

and q is the number of large boxes

Explanations:

Let the number of small boxes = p

Let the number of large boxes = q

Number of nails inside a small box = 150

Total number of small nails bought = 150p

Number of nails inside a large box = 400

Total number of large nails bought = 400q

The contractor bought two more small boxes than large boxes:

This can be interpreted mathematically as,

p = q + 2...................(1)

The total number of nails bought = 1950

Total number of small nails + Total number of large nails = Total number of nails

150p + 400q = 1950...........(2)

The system of equations is:

p = q + 2

150p + 400q = 1950

Where p is the number of small boxes

and q is the number of large boxes