SOLUTION: jennifer earned 40$ less than twice the amount tony earned. chris earned $60 more than tony. how much did each person earn if total earned is $900?

Algebra ->  Equations -> SOLUTION: jennifer earned 40$ less than twice the amount tony earned. chris earned $60 more than tony. how much did each person earn if total earned is $900?      Log On


   

Question 1097009: jennifer earned 40$ less than twice the amount tony earned. chris earned $60 more than tony. how much did each person earn if total earned is $900?
Answer by josh_jordan(263) About Me  (Show Source):
You can put this solution on YOUR website!
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:

%284T%29%2F4=880%2F4 =====> 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