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Doris spent 2/3 of her savings on a used car, and she spent 1/4 of her remaining savings on
vintage fuzzy dice. If the dice cost her $250, how much did her original savings total?

2007-09-08 07:55:09 · 11 answers · asked by crocsroc 2 in Science & Mathematics Mathematics

11 answers

let original savings = $ x
(2 / 3) x spent on car
Remainder = (1 / 3) x
spends (1 / 4) (1 / 3) x = (1/12 )( x )
(1/12) x = 250
x = 3000
Original savings were $ 3000

2007-09-09 22:13:13 · answer #1 · answered by Como 7 · 1 0

If she spent 2/3 of her savings on the car, she had 1/3 of her savings left. If she spent 1/4 of that on the dice, then she spent 1/12 of her original savings on the dice. The dice cost her $250, so her original savings was 12 times that much, or $3000.

Test it. 2/3 of $3000 is $2000, leaving $1000. 1/4 of $1000 is $250 for the dice. It checks.

2007-09-08 15:03:36 · answer #2 · answered by PMP 5 · 0 0

If $250 was 1/4 of her remaining savings - $250x4=$1000, then $1000 is the total remaining savings after the used car.

If she spent 2/3 of her savings, then that $1000 is the left-over third.

so $1000x3 = $3000 total

__________________________________

2/3 of $3000 = $2000 spent on the car leaving a remaining of $1000.

1/4 of the remaining $1000 was spent on the fuzzy dice which were $250.

Therefore her original total savings were $3000

_______________________________

Solved it both ways for ya, hope that helps.

2007-09-08 15:09:10 · answer #3 · answered by Jessi R 2 · 0 1

well dice costs 1/4 of 1/3 so 1/12 of total so total is 12*250=3000

2007-09-08 15:02:12 · answer #4 · answered by WattyIrma 3 · 0 0

Original savings is S. Purchase of car is 2S/3. Fuzzy dice are overpriced at (S-(2S/3))/4 or $250. With this information, you can work out the value of S.

2007-09-08 15:06:32 · answer #5 · answered by St N 7 · 0 0

I don't want to know Doris if she specnt $250 on Fuzzy Dice.

2007-09-08 14:59:13 · answer #6 · answered by Anonymous · 0 1

If x is her savings...

then the price for the car is
2x/3

while the price of the dice is
(1x/3)(1/4) w/c is also 250

so

x/12=250
x=3000

so his saving equal to 3000 dollars

2007-09-08 15:00:14 · answer #7 · answered by Grand Phuba 5 · 0 1

£/$4000

1/4 of remaining savings = 250 x4 = £1000 x 4 = 4000

2007-09-08 15:02:15 · answer #8 · answered by Anonymous · 0 1

y = original savings
y/3 = amt left after buying the car
250 = 1/4(1/3)y
1/12y = 250
y = 3000

2007-09-08 15:02:49 · answer #9 · answered by cjcourt 4 · 0 0

250*4=1000
1000/2=500
500*3=$1500
$1500 is the original savings.

2007-09-08 15:10:20 · answer #10 · answered by alex f 2 · 0 1

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