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.