# 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?

## 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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## 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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## a) Well, if we let the amount of money Jason had be 12x dollars and the amount of money Wilson had be 13x dollars, we can set up an equation. After Wilson spent \$63 (probably on something very important like clown shoes), Jason had 3 times as much money as Wilson. So, we have the equation 12x - 63 = 3(13x - 63). Solving for x gives us x = 9. Plugging this back into the equation, we find that Jason had 12x = 12(9) = \$108.

b) Now that we know how much money Jason had, we can figure out how much money Wilson had before he went on his spending spree. Wilson had 13x = 13(9) = \$117. So, together, they have a grand total of \$108 + \$117 = \$225. That's a good chunk of change to go clown shopping with!

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## To solve this problem, we can set up a system of equations.

Let's assume that the amount of money Jason had was 12x and the amount of money Wilson had was 13x.

After Wilson spent \$63, Jason had 3 times as much money as Wilson. This can be written as:

12x = 3(13x - 63)

Now, let's solve for x.

12x = 39x - 189
39x - 12x = 189
27x = 189
x = 7

Now we can find the amount of money Jason had:

Jason had 12x = 12 * 7 = \$84

To find the amount of money Wilson had, we substitute x in our expression:

Wilson had 13x = 13 * 7 = \$91

b) To find the total amount of money they have altogether, we add the amount of money Jason and Wilson had:

\$84 + \$91 = \$175

Therefore, they have \$175 altogether.

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## 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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