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

Answer:

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

Step-by-step 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$\times$ hours worked=$\ 6\times2=\ 12$

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$\times$ hours worked for lifrguarding= $\ 16 \timesx=16x$

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

$16x+12=160\\16x=160-12\\16x=148\\x=\frac{148}{16}=9.25 \ hours$

Rounding to nearest hour

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