Question

Jordon works for a landscaping company during his summer vacation. He is paid $12 per hour for mowing lawns and $14 per hour for planting gardens. He can work a maximum of 40 hours per week. If m represents the number of hours mowing lawns and g represents the number of hours planting gardens what is 2 systems of inequalities that could be used to represent this situation?

Answer 1

M+g≤40
12m+14g=x where x is his total earnings for the week
12m+12g+2g=x, so x-2g=12(m+g) and x-2g≤480. Or x≤480+2g. His earnings cannot exceed 480+2g.