Question

Jessica, Lauren and Kimmie were paid a total of $120 for babysitting in a ratio of 2:3:5. How much less did Jessica make than Kimmie?

Answer 1

Jessica makes $36 less than Kimmie

Explanation:

Let

x -----> amount paid to Jessica

y ----> amount paid to Lauren

z ----> amount paid to Kimmie

we know that

`x+y+z=120` ------> equation A

`(x)/(y)=(2)/(3)`

`x=(2)/(3)y` -----> equation B

`(y)/(z)=(3)/(5)`

`z=(5)/(3)y` -----> equation C

substitute equation B and equation C in equation A and solve for y

`(2)/(3)y+y+(5)/(3)y=120`

`(10)/(3)y=120`

`y=120(3)/10`

`y=36`

Find the value of x

`x=(2)/(3)(36)=24`

Find the value of z

`z=(5)/(3)(36)=60`

therefore

The amount paid to Jessica was $24

The amount paid to Lauren was $36

The amount paid to Kimmie was $60

To find out how much less Jessica did than Kimmie, subtract the amount paid to Jessica from the amount paid to Kimmie.

`\$60-\$24=\$36`

therefore

Jessica makes $36 less than Kimmie