You are trying to figure out how to spend your summer. You have two options for jobs. Babysitting (b) pays $12 an hour and cleaning houses (c) pays $15 an hour. You would like to make sure you make at least $420 per week. If you work 32 hours cleaning, how many hours do you need to work babysitting to get $420 for the week? If you work 10 hours babysitting, how many hours do you need to work (at least) cleaning houses to reach your goal?

Question

Mathematics

Mike Burke

25 February, 20:26

You are trying to figure out how to spend your summer. You have two options for jobs. Babysitting (b) pays $12 an hour and cleaning houses (c) pays $15 an hour. You would like to make sure you make at least $420 per week. If you work 32 hours cleaning, how many hours do you need to work babysitting to get $420 for the week? If you work 10 hours babysitting, how many hours do you need to work (at least) cleaning houses to reach your goal?

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Answers (1)

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Dylan Rush · Answer 1

Answer: 0 hours babysitting, 20 hours cleaning

Step-by-step explanation:

Babysitting equation: 12b

Cleaning houses equation: 15c

What you would like to make: (b or c) = at least 420

15 (32) = $480, so you would not need to babysit that week since it is more than $420.

12 (10) = 120

15c + 120 = 420

15c = 300

c = 20 hours of cleaning to reach your goal.