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 450 nails. The contractor bought twice as many large boxes as small boxes, which altogether the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.

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 450 nails. The contractor bought twice as many large boxes as small boxes, which altogether 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

Let's define the variables as follows:

Let S = number of small boxes purchased.
Let L = number of large boxes purchased.

Answer 2

To define the variables and write the system, we can use the following:

Let's assume:
- x = Number of small boxes purchased.
- y = Number of large boxes purchased.

According to the information given, the contractor bought twice as many large boxes as small boxes. So, we can represent this as:

y = 2x

We also know that each small box contains 150 nails, and each large box contains 450 nails. Since the total number of nails purchased is the sum of nails from small and large boxes, we can write another equation as:

150x + 450y

Therefore, the system of equations can be represented as:

y = 2x
150x + 450y

This system of equations represents the relationship between the number of boxes and the number of nails purchased by the contractor.

Answer 3

Small boxes= 2

Large boxes= 6

Answer 4

L = 2S

total nails = 150S + 450L
now finish it off