A grain company uses 30 storage bins to store 510 tons of grain. Some of the bins hold 20 tons of grain, and some hold 15 tons.

Question

A grain company uses 30 storage bins to store 510 tons of grain. Some of the bins hold 20 tons of grain, and some hold 15 tons.

Which system is appropriate for finding the number of 20-ton bins (x) and the number of 15-ton bins (y) used for storage?

x − y = 20
20x − 15y = 510

x + y = 30
20x − 15y = 510

x + y = 45
20x + 15y = 510

x + y = 30
20x + 15y = 510

Answer 1

The appropriate system for finding the number of 20-ton bins (x) and the number of 15-ton bins (y) used for storage is:

x + y = 30
20x + 15y = 510

This system of equations represents the number of bins and the total amount of grain stored in the bins.