Question

Judy spent 1/6 of her money on a pair of shoes and 2/5 of it on a bag. She then had $26 left.
a) What Fraction of her money did she have left?
b) How much money did she have at first?

Answer 1

Taking x = the initial amount of money

=> x - (1/6)x - (2/5)x = 26
=> x - (5/30)x - (12/30) = 26
=> x - (17/30)x = 26

a) She spent a total of (17/30) of her money, so she had (13/30) of it left.

b)

=> x - (17/30)x = 26
=> x(1 - 17/30) = 26
=> (13/30)x = 26
=> x = 26*(30/13)
= 2*30
= $60

Answer 2

Amy spent 3/5 of her money on a dress and 3/10 on a pair of shoes. What fraction of her money did she have remaining?