A landscaper earns $30 for each lawn her company mows, but she pays $210 per day in salary to her employees. If her company made more than $150 profit from mowing lawns in a 7-day week, what are the possible numbers of lawns the company could have mowed? Check all that apply.
0
5
7
12
37
54
61
80

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- anonymous

@aloud help he cuhh

- anonymous

30x-210y=150
Let's solve for x.
30x−210y=150
Step 1: Add 210y to both sides.
30x−210y+210y=150+210y
30x=210y+150
Step 2: Divide both sides by 30.
30x30=210y+15030
x=7y+5:
i think this is it but i might of made a few err you might wont to get it checked

- anonymous

hey @mathmate can you help

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- mathmate

@aloud
In solving word problems, whenever we use a variable not defined in the question, we need to define them, including units, before we set up equations.
Let x=number of lawns mowed in 7 days, then
30x-7(210)\(\ge\)150
30x\(\ge\)1470+150
30x\(\ge\)1620
x\(\ge\)54
So in fact, your answer is correct by setting y=7 days.

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