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Leon works at a grocery store for $8 an hour. He also mows lawns for $10 an hour. He needs to earn at least $120 per week, but he does not want to work more than 20 hours per week. Use a system of inequalities to find a possible combination of hours he can work at the grocery store and mowing lawns in order to meet his goal.

Answer :

You could do 10 hours of mowing and 5 hours at the store. He would work at both places for one hour. number of hours = 140
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Answer:

The data we have is:

He works for $8 an hour.

He mows lawns for $10 an hour.

He wants to work no more than 20 hours per week, and wants to hearn at least $120 week.

So if S is the number of hours he works in the store, and M is the number of hours that he mowns lawns, we have the inequalities:

S + M ≤ 20

S*$8 + M*$10 ≥ $120

So let's choose a possible solution:

Let's select M = 12 and S = 0

in this way, he worsk

0h + 12 h = 12 h that is less than 20 hours, and he wins:

0*$8 + 12*$10 = $120, which is the minimum amount of money that he wants to win.

and we have a lot of other possible solutions:

S= 1, M = 12

S = 2, M= 12.. and so on.

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