Question

Zoe is working two summer jobs, making $7 per hour babysitting and making $15 per

hour clearing tables. In a given week, she can work a maximum of 14 total hours and
must earn at least $130. If Zoe worked 4 hours babysitting, determine all possible
values for the number of whole hours clearing tables that she must work to meet her
requirements. Your answer should be a comma separated list of values. If there are
no possible solutions, submit an empty answer.​

Answer 1

7, 8, 9, 10

Explanation:

If Zoe worked 4 hours of babysitting at $7 per hour, she earned $28. Therefore, she must earn another $102 to earn at least $130. At $15 per hour, she must work a minimum of 7 hours clearing tables to make at least $102. This is fine since she can work another 10 hours before reaching her maximum of 14 total hours. Therefore, all possible values for the number of whole hours clearing tables that she must work to meet her requirements are 7, 8, 9, 10.

Answer 2

Answer: she needs 6.8 ie 6 hrs 48 min to make exactly 102$ AND

7,8,9,10 hrs to make higher than that.

Explanation:

Zoe makes $7 per hr for babysitting

Zoe makes $15 per hr clearing table

Max hrs to work = 14 hrs

Min earn = $130 for 14hrs

He works four(4) hrs babysitting , so he made = $7*4=$28

Hours remaining = 10 hrs

Money remaining to be earned in 10 hrs = 130 - 28= $102

For her to make at least$102 she needs from 7 hrs to 10 hrs

Reason, 15*6=$ 90

90 is less than 102

So from 7 to 10 hrs will meet her requirement and there will be extra gain.

But to make exactly she needs 102/15=6.8 hrs = 6 hrs 48 min