The ratio of the amount of money Jason had to the amount of money Wilson has was 12:13. After Wilson $63, Jason had 3 times as much money as Wilson. How much money did Jason have?
I actually have no idea
I am doing this problem too i am
really confusing!!!!
To solve this problem, we can set up a system of equations based on the information given.
Let's denote the amount of money Jason originally had as J and the amount of money Wilson originally had as W.
From the given information, we know that:
J/W = 12/13 (ratio of the amounts of money Jason had to Wilson has)
After Wilson spent $63, Jason had 3 times as much money as Wilson:
J - 63 = 3(W - 63)
Now we have a system of two equations:
J/W = 12/13
J - 63 = 3(W - 63)
To solve this system, we can use substitution or elimination method. Let's use substitution method:
Rearrange the first equation to solve for J in terms of W:
J = (12/13)W
Substitute this expression for J in the second equation:
(12/13)W - 63 = 3(W - 63)
Multiply both sides by 13 to eliminate the fraction:
12W - 819 = 39W - 1959
Move all the W terms to one side and all the constant terms to the other side:
39W - 12W = 1959 - 819
27W = 1140
Divide both sides by 27:
W = 42
Now, substitute this value back into the expression for J:
J = (12/13)W = (12/13)(42) = 36
Therefore, Jason originally had $36.