SOLUTION: Linda spent 3/4 of her savings on furniture. She then spent 1/2 of her remaining savings on a fridge. If the fridge cost her $150, what were her original savings?

Question 696742: Linda spent 3/4 of her savings on furniture. She then spent 1/2 of her remaining savings on a fridge. If the fridge cost her $150, what were her original savings?

Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Linda spent 3/4 of her savings on furniture. She then spent 1/2 of her remaining savings on a fridge. If the fridge cost her $150, what were her original savings?
.
Let x = amount ($) of original savings
then
(3/4)x = cost of furniture
and so,
(1/2)(x - (3/4)x) = cost of fridge
.
(1/2)(x - (3/4)x) = 150
multiplying both sides by 2:
(x - (3/4)x) = 300
multiplying both sides by 4:
4x - 3x = 1200
x = $1200 (answer)

RELATED QUESTIONS
Linda spent 3/4 of her bank savings on furniture and the rest on a tv. If the tv cost... (answered by Cromlix)

On the sixth day of her trip dora spent 3/10 of her savings. A week later she only had... (answered by greenestamps)

After spending $2200 of his savings on an iPad, Daniel spent 1/4 of his remaining savings (answered by Boreal,54929,MathTherapy)

Beth, Kinsley, and Kori went shopping. Beth spent half of her money on a new pair of... (answered by mananth)

lianne spent 2/5 of her savings to buy a gift for her mother. if her saving was 600, how... (answered by Cromlix)

Mrs. Spring spent 45% of her savings on a new television set that cost $810. How much... (answered by ewatrrr)

Chandra spent 2/5 of her income of January for rent, and 3/4 of the remainder on other... (answered by mananth)

Hi joanne and alex had some money.joanne gave 1/4 of her money to her mom.she then saved (answered by ankor@dixie-net.com)

One afternoon, Carli went to the mall and spent $4 on a frozen yogurt cone. She spent 1/4 (answered by josmiceli)