Sandra spent one-fifth of her money and loaned one-third of the remainder to her brother. She had $24 left. How much did she begin with?

Answer 1

m - 1/5 m = 4/5 m
4/5 m * 1/3 = 4/15 m

m - 1/5 m - 4/15 m = 24
m = 45

Answer 2

When working backwards we first need to deal with 1/3. so since it says 1/3 of the remainder, does this mean to divide 24 by 1/3

Answer 3

if r is the remainder, then

24 = 2/3 r
r = 36

r = 4/5 m, so
m = 5/4 * 36 = 45

Answer 4

I understand thank you.