Question 1097009
Jennifer = J
Tony = T
Chris = C


Let's now set up the equations:
J = 2T - 40 (Jennifer earned 40 dollars less than twice the amount of Tony)
C = T + 60 (Chris earned 60 dollars more than Tony)
J + T + C = 900 (Jennfer + Tony + Chris = 900 dollars)


1) Substitute 2T - 40 for J in equation 3:


2T - 40 + T + C = 900


2) Substitute T + 60 for C in equation 3 and add/subtract like terms:


2T - 40 + T + T + 60 = 900 =====> 4T - 40 + 60 = 900 =====> 4T + 20 = 900


3) Subtract 20 from both sides of the equation:


4T + 20 - 20 = 900 - 20 =====> 4T = 880


4) Divide both sides of the equation by 4 to find Tony's earnings:


{{{(4T)/4=880/4}}} =====> T = 220


5) Now that we know Tony earned 220, we can replace T in equation 2 with 220:


C = 220 + 60 =====> C = 280


6) Now replace T in equation 1 with 220 to find Jennifer's earnings:


J = 2(220) - 40 =====> J = 440 - 40 =====> J = 400


Answer:


Jennifer = $400
Tony = $220
Chris = $280