Linda spent one fourth of her money on books 1/3 of her money on food and 1/5 of the remainder on her money on drinks if she then had $21.55 left over how much money did you start with?

Answer 1

Let's represent the amount of money Linda had initially as "x".

Linda spent 1/4 * x on books.
She spent 1/3 * x on food.

The remainder after these two expenses is x - 1/4 * x - 1/3 * x = 1 * x - 1/4 * x - 1/3 * x = (12/12) * x - 3/12 * x - 4/12 * x = (5/12) * x.

Linda then spent 1/5 * (5/12 * x) on drinks, which is (1/5) * (5/12 * x) = (1 * x) / (5 * 12) = x/60.

After spending on drinks, Linda had x - x/60 = 59/60 * x left.

The remaining amount is given as $21.55, which can be expressed as (59/60 * x) = $21.55.

Solving for x,

59/60 * x = $21.55,
x = $21.55 * 60 / 59,
x ≈ $21.92.

Therefore, Linda initially had approximately $21.92.