Francesca had spent 1/2 of her money in shop A and 3/4 of what she had left in shop b. She then had 4.75euro. How much money was her money had she in the beginning?

.5x - .75(.5x) = 4.75

Solve for x.

What’s the answer

To solve this problem, let's break it down step by step.

Let's assume Francesca's initial amount of money is "x" euros.

1. Francesca spends 1/2 of her money in shop A.
After this, she has 1/2 * x euros remaining.

2. She then spends 3/4 of what she had left in shop B.
Thus, she spends (3/4) * (1/2 * x) = 3/8 * x euros in shop B.
After this, she has (1/2 * x) - (3/8 * x) euros left.

3. According to the question, she has 4.75 euros remaining.
Therefore, we can write the equation:
(1/2 * x) - (3/8 * x) = 4.75

To solve this equation, we can simplify it by finding a common denominator:

(4/8 * x) - (3/8 * x) = 4.75
(1/8 * x) = 4.75

Next, we isolate x by multiplying both sides of the equation by 8:

x = 4.75 * 8
x = 38

Therefore, Francesca initially had 38 euros.