A boy spends 64% of his money and has #204 left. How much had he at first

0.36x = 204

now finish it off

To find out how much the boy had at first, we can set up an equation using the information given.

Let's assume that the amount the boy had at first is represented by "x".

We know that the boy spent 64% of his money, which means he has 100% - 64% = 36% of his money left.

We can express this mathematically as:

0.36x = 204

To solve for x, we need to isolate it on one side of the equation. Divide both sides by 0.36:

x = 204 / 0.36

Calculating this, we get:

x ≈ 566.67

Therefore, the boy had approximately #566.67 at first.

To find out how much money the boy had at first, follow these steps:

Step 1: Let's assume that the amount of money the boy had at first is 'x.'

Step 2: The boy spent 64% of his money, which means he had (100% - 64%) = 36% of his money left.

Step 3: We can express 36% as a decimal by dividing it by 100: 36/100 = 0.36.

Step 4: Since the boy had 0.36 times his initial money left, we can write this as 0.36x.

Step 5: According to the given information, the amount of money he had left was #204. Therefore, we can write the equation as:
0.36x = #204.

Step 6: To find 'x,' we can solve the equation by dividing both sides by 0.36:
x = #204 / 0.36.

Step 7: Calculating the value, we get:
x = #567.78.

So, the boy had #567.78 at first.