Answer:
Jessica makes $36 less than Kimmie
Step-by-step explanation:
Let
x -----> amount paid to Jessica
y ----> amount paid to Lauren
z ----> amount paid to Kimmie
we know that
------> equation A
![\frac{x}{y}=\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%3D%5Cfrac%7B2%7D%7B3%7D)
-----> equation B
![\frac{y}{z}=\frac{3}{5}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bz%7D%3D%5Cfrac%7B3%7D%7B5%7D)
-----> equation C
substitute equation B and equation C in equation A and solve for y
![\frac{2}{3}y+y+\frac{5}{3}y=120](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7Dy%2By%2B%5Cfrac%7B5%7D%7B3%7Dy%3D120)
![\frac{10}{3}y=120](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B3%7Dy%3D120)
![y=120(3)/10](https://tex.z-dn.net/?f=y%3D120%283%29%2F10)
![y=36](https://tex.z-dn.net/?f=y%3D36)
<em>Find the value of x</em>
![x=\frac{2}{3}(36)=24](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%7D%7B3%7D%2836%29%3D24)
<em>Find the value of z</em>
![z=\frac{5}{3}(36)=60](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B5%7D%7B3%7D%2836%29%3D60)
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](https://tex.z-dn.net/?f=%5C%2460-%5C%2424%3D%5C%2436)
therefore
Jessica makes $36 less than Kimmie