I need help with this like really badly sooo yeahhhh:)

here it is:
Hugo withdrew some money from his bank account. He spent one third of the money for gasoline. Then he spent half of what was left for a haircut. He bought lunch for $6.55. When he got home,he had $13.45 left. How much money was withdrawn from the bank?

BTW!!! I need it explained on like how you figured it out because i have another ? like it and i want to try and do that one on my own!!! THX!

;)

started with x dollars

spend (1/3)x for gas, leaving him (2/3)x
spend (1/2) of (2/3)x on haircut
leaving him with (2/3)x - (1/2)(2/3)x or (1/3)x
after lunch he had (1/3)x - 6.55

so (1/3)x - 6.55 = 13.45
(1/3)x = 20
x = 60

check:
start with 60
spend 1/3 of that or 20 on gas
leaving him with 40
spend 1/2 of that or 20 on haircut, leaving him with 20
spend 6.55 on lunch, leaving him with 13.45
checks out!

(Time to update those prices,
$20 for gas , not going too far with that
$6.55 for lunch, but $20 for haircut? )

Thank You Reiny i see what you did there :) i was confused on some of the things but i understand how to do that stuff now!

Thanks Again!,
Emily

You could do this by working backwards if you don't know algebra:

before lunch he must have had 13.45 + 6.55 or $20
this was half of what he had before the haircut, so he must have had $40 before the haircut
the $40 must be 2/3 of what he had before getting gas, since he spent 1/3 on gas
so 3/3 must have been $60

To solve this problem, we need to work backwards. We will start with the money Hugo had left and step by step figure out how much was initially withdrawn from his bank account.

1. We know that when Hugo got home, he had $13.45 left.
2. Before coming home, he bought lunch for $6.55. So, before buying lunch, he had $13.45 + $6.55 = $20 left.
3. We also know that he spent half of what was left after buying gasoline on a haircut. So, before getting a haircut, he had $20 * 2 = $40 left.
4. Before spending money on a haircut, he spent one third of the total money for gasoline. Therefore, before buying gasoline, he had $40 * 3 = $120 in his bank account.

Therefore, Hugo withdrew $120 from his bank account.

If you have any further questions or need more explanation, feel free to ask!