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.