An artist bought a set of 10 paintbrushes that contained x small paintbrushes and y large paintbrushes. The number of small paintbrushes in the set was 4 times the number of large paintbrushes in the set.

Question

Which system of equations can be used to find the numbers of small paintbrushes and large paintbrushes in the set?

Answer 1

Let x represent the number of small paintbrushes and y represent the number of large paintbrushes.

The total number of paintbrushes in the set is 10:
x + y = 10

The number of small paintbrushes is 4 times the number of large paintbrushes:
x = 4y

So, the system of equations is:
x + y = 10
x = 4y