Thomas had $3.70 less than victor. After Thomas spent $5.80, Victor had 3 times as much money as Thomas. How much money did Thomas and Victor have in the end?
Accepted Solution
A:
Let's represent the amount of money Thomas had as "T" and the amount Victor had as "V". We're given the following information:
1. Thomas had $3.70 less than Victor: T = V - 3.70
2. After Thomas spent $5.80, Victor had 3 times as much money as Thomas: V - 5.80 = 3(T - 5.80)
We can solve this system of equations to find the values of T and V.
Substitute the value of T from the first equation into the second equation:
V - 5.80 = 3(V - 3.70 - 5.80)
Simplify the equation:
V - 5.80 = 3(V - 9.50)
Distribute the 3 on the right side:
V - 5.80 = 3V - 28.50
Subtract V from both sides:
-5.80 = 2V - 28.50
Add 28.50 to both sides:
22.70 = 2V
Divide by 2:
V = 11.35
Now that we have Victor's amount, we can find Thomas's amount using the first equation:
T = V - 3.70
T = 11.35 - 3.70
T = 7.65
So, Thomas had $7.65 and Victor had $11.35 in the end.