A woman spent 75 more than 75% of her money in one store. She then spent 75 more than 75% of her remaining money in another store. She did the same in a third store and had only 700 left. How much money did she originally have?

Question

My answer is 51,100. Is this correct?
Thank you.

Answer 1

well, did you check your answer?
money spent at store #1 = 3/4 * 51100 + 75 = 38400, leaving 12700
at #2, spends 3/4 * 12700 + 75 = 9600, leaving 3100.
at store #3, spends 3/4 * 3100 + 75 = 2400, leaving 700

Looks like you are correct. It seems you need to learn how to check your answer to see whether it is correct.

Here's how I did it. You may have followed the same steps...

money spent in store #1 3/4 x + 75, leaving x/4-75
in store #2, 3/4 (x/4-75)+75, leaving x/16 - 375/4
in store #3, 3/4 (x/16 - 375/4)+75, leaving x/64 - 1375/16

So, we just solve

x/64 - 1375/16 = 700
x = 51100

Answer 2

I did check my answer but I still have doubt that it's correct. Thank you for answering.