Question

Katherine is working two summer jobs, making $16 per hour lifeguarding and making $6 per hour walking dogs. In a given week, she can work a maximum of 15 total hours and must earn at least $160. If Katherine worked 2 hours walking dogs, determine the minimum number of whole hours lifeguarding that she must work to meet her requirements. If there are no possible solutions, submit an empty answer.

Answer 1

Katherine need to work minimum 10 hours lifeguarding to meet her requirements

Explanation:

Given:

Rate for Lifeguarding =
`$16\ per\ hour`

Rate for walking dogs =
`$6 \ per\ hour`

She had worked 2 hours walking dog

Money for walking dogs = Rate for walking dogs
`*` hours worked=
`\$6*2=\$12`

she can work a maximum of 15 total hours and must earn at least $160.

Let hours required for lifeguarding be x

Money for life guarding = Rate for walking dogs
`*` hours worked for lifrguarding=
`\$16 *x=16x`

Total Money she must earn = Money for lifeguarding + Money for walking dogs

`16x+12=160\\16x=160-12\\16x=148\\x=(148)/(16)=9.25 \ hours`

Rounding to nearest hour

Katherine need to work minimum 10 hours lifeguarding to meet her requirements