Let's start by finding the number we're working with.
We know that 25% of the number is 65, so we can set up an equation:
0.25x = 65
- where "x" is the number we're trying to find.
To solve for "x", we can divide both sides of the equation by 0.25:
x = 65 / 0.25
x = 260
So the number we're working with is 260.
Next, we need to find 40% of the same number:
0.40(260) = 104
Now we can use this information to find 15% of the same number:
We can set up a proportion:
40% is to 104 as 15% is to x
0.40/104 = 0.15/x
To solve for "x", we can cross-multiply:
0.40x = 104(0.15)
0.40x = 15.6
x = 39
So 15% of the same number is 39.