Q:

Thomas had $3.70 less than Victor. After Thomas spend $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 assume that Thomas had x dollars and Victor had y dollars. According to the given information, Thomas had $3.70 less than Victor, so we can write the equation: x = y - 3.70 After Thomas spent $5.80, his new amount of money is x - 5.80. According to the second statement, Victor had 3 times as much money as Thomas, so we can write the equation: y = 3(x - 5.80) Now we can solve these two equations to find the values of x and y. Substituting the value of x from the first equation into the second equation: y = 3((y - 3.70) - 5.80) y = 3(y - 9.50) y = 3y - 28.50 2y = 28.50 y = 14.25 Substituting the value of y into the first equation: x = 14.25 - 3.70 x = 10.55 Therefore, Thomas had $10.55 and Victor had $14.25 in the end.