Hawa is working two summer jobs, making $\$ 9$ per hour babysitting and making $\$ 13$ per hour tutoring. In a given week, she can work no more than $12$ total hours and must earn a minimum of $\$ 120$ . If Hawa worked $2$ hours babysitting, determine the minimum number of whole hours tutoring that she must work to meet her requirements. $\newline$ Answer:

Full solution

Q. Hawa is working two summer jobs, making

\$ 9

per hour babysitting and making

\$ 13

per hour tutoring. In a given week, she can work no more than

12

total hours and must earn a minimum of

\$ 120

. If Hawa worked

2

hours babysitting, determine the minimum number of whole hours tutoring that she must work to meet her requirements.

\newline

Answer:

Calculate Earnings from Babysitting: First, we need to calculate the amount Hawa earns from babysitting for $2$ hours. $\newline$ She earns $\$9$ per hour babysitting. $\newline$ So, for $2$ hours, she will earn $2$ hours * $\$9$ /hour = $\$18$ .
Determine Additional Earnings Needed: Next, we need to determine how much more money Hawa needs to make to reach her minimum weekly earnings of $\$120$ . She has already earned $\$18$ from babysitting. So, she needs $\$120 - \$18 = \$102$ more.
Calculate Hours for Tutoring: Now, we need to calculate the number of hours she needs to work tutoring to make the additional $\$102$ . She earns $\$13$ per hour tutoring. To find the number of hours, we divide the total amount she needs by her hourly tutoring rate: $\$102 \div \$13/\text{hour} = 7.84615385$ hours.
Round Up to Whole Hours: Since Hawa can only work whole hours, we need to round up the number of hours to the next whole number because she can't work a fraction of an hour and she needs to meet the minimum earnings requirement. $\newline$ Therefore, she must work at least $8$ whole hours tutoring.