Milan puts 1/4 of her lawn mowing money away, she gives 1/2 to her sister, she now has 15$ how much did she have in the first place?
Let's assume that Milan's lawn mowing money is represented by 'X' dollars.
Given that Milan puts 1/4 of her money away, she still has 3/4 of 'X' dollars remaining.
Milan then gives 1/2 of the remaining money to her sister, which means she now has 1/2 * (3/4 * X) = 3/8 * X dollars left.
We know that Milan has 15 dollars left, so we can set up the following equation:
3/8 * X = 15
To find the value of 'X', we can multiply both sides of the equation by 8/3:
X = (15 * 8)/3
Simplifying the right side:
X = 40
Therefore, Milan had 40 dollars in the first place.
To find out how much Milan had in the first place, we can work backwards from the given information. Let's break it down into steps:
Step 1: Calculate how much Milan has after giving half of her money to her sister.
We know that after giving 1/2 of her money away, Milan has $15 remaining.
Let's represent Milan's original amount as "x," then we can write the equation: x - (1/2)x = $15.
Step 2: Solve the equation.
To solve the equation, we need to simplify it by combining like terms.
(1/2)x is the same as x/2. So, the equation becomes x - x/2 = $15.
To simplify further, we can find a common denominator, which is 2.
Multiplying the first term, x, by 2/2 gives us (2x/2), and the equation becomes (2x - x)/2 = $15.
Simplifying the equation, we have x/2 = $15.
Step 3: Isolate x to find the original amount.
To isolate x, we can multiply both sides of the equation by 2, which cancels out the denominator on the left side:
x = $15 * 2.
x = $30.
Therefore, Milan originally had $30 before giving half to her sister and putting away a quarter of her lawn mowing money.
1 - 1/4 - 1/2 = 1/4
1/4 m = $15