I'm not sure if I got this right because the answer I got is €5.00\€6.25
So the question is: Eugene spent half his money in one shop and half of what was left in another shop. He then had €1.25. How much had he in the beginning
Let x = starting sum
x - x/2 - x/4 = 1.25
Multiply by 4.
4x - 2x - x = 5
Tom spent 1/4 in one shop 1/3 in another and has 5.50 left. How much had he to begin with?
To solve this problem, we can break it down into steps:
Step 1: Start by representing the original amount of money Eugene had with the letter "x."
Step 2: Eugene spent half of his money in the first shop, which means he spent (1/2) * x.
Step 3: After spending in the first shop, Eugene had (1/2) * x left.
Step 4: Eugene then spent half of what was left in the second shop, which means he spent (1/2) * ((1/2) * x).
Step 5: After spending in the second shop, Eugene had €1.25 left. So, we can write the equation: (1/2) * ((1/2) * x) = €1.25.
Now, let's solve the equation using algebra:
(1/2) * ((1/2) * x) = €1.25
To simplify, we can multiply both sides of the equation by 2:
((1/2) * x) = €1.25 * 2
Simplifying further:
(1/2) * x = €2.50
Now, multiply both sides of the equation by 2:
x = €2.50 * 2
x = €5.00
Therefore, the original amount of money Eugene had was €5.00.