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
[tex]x+y+z=120[/tex] ------> equation A
[tex]\frac{x}{y}=\frac{2}{3}[/tex]
[tex]x=\frac{2}{3}y[/tex] -----> equation B
[tex]\frac{y}{z}=\frac{3}{5}[/tex]
[tex]z=\frac{5}{3}y[/tex] -----> equation C
substitute equation B and equation C in equation A and solve for y
[tex]\frac{2}{3}y+y+\frac{5}{3}y=120[/tex]
[tex]\frac{10}{3}y=120[/tex]
[tex]y=120(3)/10[/tex]
[tex]y=36[/tex]
Find the value of x
[tex]x=\frac{2}{3}(36)=24[/tex]
Find the value of z
[tex]z=\frac{5}{3}(36)=60[/tex]
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.
[tex]\$60-\$24=\$36[/tex]
therefore
Jessica makes $36 less than Kimmie
