Q:

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.