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?

Question

Layne

Mathematics

16 August, 21:30

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?

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Isis House · 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.