Question

A woman went shopping and spent 2 3 of all the money she had. Then she lost 3 5 of what she had left after shopping. How much money did she have in the beginning if she now has $10.00?

Answer 1

Answer:

Total Money = $ 75.00

Step-by-step explanation:

Let X be the Total Money

Amount Spent for Shopping = 2/3 of X = 2X/3

Money Lost = 3/5 of (X -2X/3) = 3/5 of (3X-2X)/3 = 3X/15 = X/5

Balance in hand = $ 10.00

is X - 2X/3 - X/5 = $ 10.00

LCM of 3 and 5 = 15

ie (15X - 10X - 3X)/15 = $ 10.00

(15X - 10X - 3X) = 150.00

2X = $ 150.00

X = $ 150.00/2

X = $ 75.00