L = 2S
total nails = 150S + 450L
now finish it off
total nails = 150S + 450L
now finish it off
Large boxes= 6
Let S = number of small boxes purchased.
Let L = number of large boxes purchased.
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.