A boy spends 32% of his money and has $120 left how much did he have at first
Well, what % of is money does he have now? i.e. what percentage does $120 equal? What percentage do you want?
You'll get something that looks like this example:
10% = $70 (what you were given)
50% = ? (what you want)
What would 50% be in dollars in that example?
See if you can do it now.
x - .32x = 120
Solve for x.
To find out how much the boy had at first, we can set up an equation using the information provided.
Let's assume that the boy's initial amount of money is represented by 'x'.
According to the given information, he spends 32% of his money, which means he has 100% - 32% = 68% of his money left.
We can represent this as 68% of 'x', or 0.68x.
Since we know that he has $120 left, we can set up the equation:
0.68x = $120
To find 'x', we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.68:
x = $120 / 0.68
Using a calculator, we can evaluate this:
x ≈ $176.47
Therefore, the boy had approximately $176.47 at first.