The ratio of the amount of money Jason had to the amount of money Wilson had was 12:13. After Wilson spent $63, Jason had 3 times as much money as Wilson. a) How much money did Jason have? b) How much money do they have altogether?

4 answers

J = 12/13 W

J = 3(W - 63)

12/13 W = 3W - 189 ... 189 = 27/13 W

solve for W, then substitute back to find J
Work the full problem out
W = 189*13/27 = 91

How much money did Jason have?
J = 3(91-63) = 3*28 = $84

How much money do they have altogether to start with?
=84+91 = 175
How much money do they have altogether at the end?
=84+(91-63) = 84+28 = 112
Solving Eq:
12/13 W = 3W - 189

3W-(12/13)W = 189

(3*13/13)W -(12/13)W = 189

(39-12/13)W = 189 => 27/13W =189