SOLUTION: Linda spend 1/2 of her money on food, 1/4 of the remainder on clothes.and 2/3 of the remainder on shoes .after shopping she had balance of 300 how much money she had before shoppin

Algebra.Com
Question 696444: Linda spend 1/2 of her money on food, 1/4 of the remainder on clothes.and 2/3 of the remainder on shoes .after shopping she had balance of 300 how much money she had before shopping
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the amount of money she started with.
She spent on food
So she had left
---------------------
She spent
on clothes
So she has left
---------------------
She spent
on shoes
So she has left
---------------------
given:


She had $2,400 before shopping
----------------------
check answer:
She spent half of $2,400 on food, so
she had $1,200 left
-----------------
She spent 1/4 of $1,200 on clothes,
so she had 3/4 of $1,200 left, or
$900 left
-----------------
She spent 2/3 of $900 on shoes, so
she had 1/3 of $900 left, or $300
OK

RELATED QUESTIONS

If a girl spends 3/7 of her money on food, 1/4 of her money on shoes and 1/3 of the... (answered by ankor@dixie-net.com)
A teenager went shopping . She spent 2/7of her money on clothes and 2/3 of the remaining (answered by robertb)
A teenager went shopping . She spent 2/7of her money on clothes and 2/3 of the remaining (answered by Jk22)
Hi Sarah spent 3/8 of her allowance on food and 1/3 of the remainder on clothes. Then... (answered by josgarithmetic,mananth,MathTherapy,greenestamps,Edwin McCravy,ikleyn,AnlytcPhil)
Lorraine spent 25% of her money on shopping and 2/5th of the remainder on food. If she is (answered by ewatrrr)
Raj spent 25% of his money on clothes and 1/3 of the remainder on food. After giving $441 (answered by math_tutor2020)
If Nadine spent 2/7 of her money on clothes and 1/4 on shoes. what fraction has she have... (answered by ankor@dixie-net.com)
Zack spent 1/3 of his money on food. He then used 1/4 of the remainder to buy 3 breads.... (answered by math_tutor2020)
Lillian has a part-time job. Each month, she spends 1/3 of her earnings on clothes, saves (answered by rothauserc)