Question

Gavin went on 25 runs last month that totaled 103 miles. Each run was a distance of either 3 miles or 5 miles. Which system of

equations can be used to determine the number of 3-mile runs, x, and the number of 5-mile runs, y, that Gavin went on last month?

Answer 1

3x+5y=105

x+y=25

Explanation:

x is the number of 3 mile runs so the total distance travelled is 3x miles. y is the number of 5 mile runs so the total distance travelled is 5y miles. Together Gavin travelled 103 miles so 3x+5y=105.

The number of 3 mile and 5 mile runs he did in total were 25 so x+y=25.

So the answer is:

3x+5y=105

x+y=25

Done.