Question

Victoria is working two summer jobs, making $11 per hour babysitting and making $17 per hour tutoring. In a given week, she can work a maximum of 12 total hours and must earn a minimum of $150. If Victoria worked 2 hours babysitting, determine all possible values for the number of whole hours tutoring that she must work to meet her requirements. Your answer should be a comma separated list of values. If there are no possible solutions, Write NO SOLUTION

Answer 1

Given:

Babysitting =$11/hours

Tutoring=$17/hours

Total work hours is=12 hours

Minimum many earn=$150

Work 2 houre for babysitting

so money earn is:

`\begin{gathered} \text{earn amount =2}*11 \\ =22 \end{gathered}`

Earn amount is $ 22

then required amount is:

`\begin{gathered} \text{required amount =150-22} \\ =128 \end{gathered}`

so tutoring time for reuired amount is:

`\begin{gathered} tutoring\text{ time=}(128)/(17) \\ =7.52 \end{gathered}`

so 7.52 hours is tutoring time and 2 hours babysitting then it 9.52 hours achieved minimum earn amount

so minimum hours for tutoring is 7.52 hours.