Question

Eva is working two summer jobs, making $9 per hour landscaping and $14 per hour clearing tables. Last week Eva earned a total of $74 and worked twice as many hours clearing tables as she worked hours landscaping. Determine the number of hours Eva worked landscaping last week and the number of hours she worked clearing tables last week.

Answer 1

Eva worked 2 hours landscaping and 4 hours clearing tables last week

Explanation:

Let

x ----> the number of hours worked landscaping last week

y ---> the number of hours worked clearing tables last week

we know that

Eva earned a total of $74

so

`9x+14y=74` ----> equation A

Eva worked twice as many hours clearing tables as she worked hours landscaping

so

`y=2x` ----> equation B

substitute equation B in equation A

`9x+14(2x)=74`

solve for x

`9x+28x=74\\37x=74\\x=2\ hours`

Find the value of y

`y=2x`

substitute the value of y

`y=2(2)=4\ hours`

therefore

The number of hours Eva worked landscaping last week was 2 and the number of hours she worked clearing tables last week was 4