Rachel cannot remember how much money she had when she came to school this morning. She used half of the money for lunch and then spent half of what was left to buy paper. If she now has #1.35, how much money did Rachel begin with?
Let x = original amount.
.5x - .25x = $1.35
.25x = $1.35
Solve for x.
To find out how much money Rachel began with, we can work backwards from the given information.
Let's start by finding out how much money Rachel had after buying the paper. We know she has $1.35 remaining. Since she spent half of what was left after buying lunch, we can double the amount she has now to find the value before buying paper.
$1.35 * 2 = $2.70
So, Rachel had $2.70 before buying paper.
Next, let's find out how much money Rachel had before buying lunch. We know she spent half of what was left to buy paper, so we can double the value to find the amount she had before buying lunch.
$2.70 * 2 = $5.40
Therefore, Rachel had $5.40 at the start of the day.