# Math

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?

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1. 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

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2. Work the full problem out

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3. W = 189*13/27 = 91

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

=84+91 = 175
How much money do they have altogether at the end?
=84+(91-63) = 84+28 = 112

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4. 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

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