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Trevor tutors French for $15 an hour and scoops ice cream for $10 an hour. He is going to work 15 hours this week. At least his many hours does he need to tutor to make more than $180? Let x equal the number of hours he tutors and y be the number of hours he scoops ice cream. (Select multiple)
x + y < 15

15 x+10 y > 180

x + y = 15

15 x+ 10 y < 180

x + y > 15

15 x+ 10 y =180

1 Answer

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Answer:

x (total number of hours) = 15

Step-by-step explanation:

Total number of hours = 15

Let the hours spent tutoring french be x.

Therefore hours spent on scooping ice cream = (15 - x)

Amount:    Tutoring french is $15 an hour, total for x hours = 15x

For scooping ice cream  it is $10 an hour   10*(15 - x) = 150 - 10x

To make more than $180

15x  + (150 - 10x)  > 180

15x + 150 - 10x > 180

15x - 10x > 180 - 150

5x > 30

x > 30/5

x > 6

So he needs to tutor more than 6 hours in order to make more than $180

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Carlie Orn
15.5k 3 10 26
answered 6 months ago