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?
a) What Fraction of her money did she have left?
b) How much money did she have at first?
Answers
Arora
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
=> 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
Kizzy
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?