SOLUTION: After their shopping trip mike spent 3/5 of his money.Eve spent 1/2 of hers and sue spent $50 they then had the same amount of money left.if the total amount lefr was $54 what was

Question 941583: After their shopping trip mike spent 3/5 of his money.Eve spent 1/2 of hers and sue spent $50 they then had the same amount of money left.if the total amount lefr was $54 what was the total amount mike and sue had at first.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
At the end each had an equal part of $54, or $54/3=$18
Sue had spent $50, so she started with $18+$50=$68
Eve spent half, so she started with twice as much or 2($18)=$36
Mike spent 3/5, so he had 2/5 remaining, so he started with 5/2($18)=$45
CHECK:
Mike spent 3/5 and had $18 remaining
3/5($45)=135/5=$27 and $45-$27=$18
Given a number ($18) and its fraction of an original number (2/5) multiply by the reciprocal of the fraction (5/2) to obtain the original number. This is the same as dividing by (2/5)
RELATED QUESTIONS
Brian and Daryl went shopping. both decided to spend the 532 pesos they have saved from... (answered by Boreal)

On Saturday Silvio went shopping. He spent half of his money and 5$ more in the sports... (answered by josgarithmetic,ikleyn)

Bertram and Ernie had $988 altogether. After Bertram spent 4/5 of his money and Ernie... (answered by ikleyn,SCrappingDude)

Hector, Kenny and Elliot went shopping with $2190. Kenny spent $80 and Hector spent 2/5... (answered by ikleyn)

Andy, Ben and Cain had a total of $440. After spending, Andy and Ben saved 2/3 of their... (answered by greenestamps)

Ahmad and Luke had $400 altogether at first. Then, Ahmad spent 3/5 of his money and Luke... (answered by greenestamps,josgarithmetic)

Ahmad and Luke had $400 altogether at first. Then, Ahmad spent 3/5 of his money and Luke... (answered by josgarithmetic,greenestamps)

William and his sister had a total of $520. After he spent 1/2 of his money and his... (answered by josmiceli)

Raj, Ismail and Carol went shopping. Raj spent 0.25 of the total amount that Ismail and... (answered by greenestamps,MathTherapy)