Linear Equation Word Problem

Question

Oliver mows lawns in his neighborhood. He charges $10 for each regular yard he mows, and he charges an extra $5 for each large yard that he mows. In one week he mowed 6 more large yards than regular yards and made $265. If r represents the number of regular yards that Oliver mowed, which equation best models the situation?

Answer Choices:

A. 10(r+6)+15r=265

B. 10(r+6) + 5r=265

C. 10r+15(r+6)=265

D. 10r + 5(r+6)=265

Answer 1

10r + 15(r+6) = 265

C is correct

10r + 15r + 90 = 265

25r = 265- 90 = 175

r = 175/25 = 7 regular yards

r+6 = 13 large yards

10(7) + 15(13) = 70 + 195 = 265