Gopal spent 3/5 of his money in the first week and 1/3 of the remainder in the second week. He spent $110 altogether. How much money did he have left?

Starting with $X, first week spends 3X/5, leaving him with 2X/5.

Second week spends 1/3(2X/5.

He therefore spent 3X/5 + 2X/15 which is equal to $110.

Solve for X.

2/5

117

I honestly don't know

To find out how much money Gopal had left, we need to follow these steps:

Step 1: Calculate the amount of money Gopal spent in the first week.
- Gopal spent 3/5 of his money in the first week, so the money left is 1 - 3/5 = 2/5.
- Let's assume the total amount of money Gopal had initially is 'x'.
- The amount of money Gopal spent in the first week is (3/5) * x.

Step 2: Calculate the remainder after the first week.
- The remainder after the first week is found by subtracting the amount spent in the first week from the initial amount of money: x - (3/5) * x = (2/5) * x.

Step 3: Calculate the amount of money Gopal spent in the second week.
- Gopal spent 1/3 of the remainder in the second week, so the money left is 1 - 1/3 = 2/3.
- The amount of money Gopal spent in the second week is (1/3) * (2/5) * x = (2/15) * x.

Step 4: Set up an equation to solve for x.
- The total amount spent throughout the two weeks is given as $110.
- So, (3/5) * x + (2/15) * x = $110.

Step 5: Solve the equation to find x.
- Multiply through by 15 to eliminate the denominators: 9x + 2x = 15 * $110.
- Simplify: 11x = $1650.
- Divide both sides by 11: x = $150.

Therefore, Gopal initially had $150. To calculate how much money he had left, we need to find (2/5) * $150 - (2/15) * $150.