Question

In order to earn some extra money, Malia is mowing lawns. She charges $10 to mow a small lawn and $20 to mow a large lawn. She would like to make at least $120.
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of small lawns
y = the number of large lawns

Answer 1

Let x = number of small lawns and y = number of large lawns. Her earnings are 10x + 20y, and she wants at least $120, so

10x + 20y ≥ 120.

This can be simplified (divide both sides by 10) to

x + 2y ≥ 12.

(Also x ≥ 0, y ≥ 0 since numbers of lawns cannot be negative.)