SOLUTION: Jalene dropped her bag of marbles. One fourth rolled under her dresser, one sixth rolled under the bed, one third stayed in the bag and 6 rolled out the door. How many marbles di

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Jalene dropped her bag of marbles. One fourth rolled under her dresser, one sixth rolled under the bed, one third stayed in the bag and 6 rolled out the door. How many marbles di      Log On


   

Question 990960: Jalene dropped her bag of marbles. One fourth rolled under her dresser, one sixth rolled under the bed, one third stayed in the bag and 6 rolled out the door. How many marbles did she have?
Found 2 solutions by rfer, macston:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
1/4+1/6+1/3+6=
6/24+4/24+8/24+6=
18/24+6=
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24/24-18/24=6/24
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6=144/24
(144/24)/(6/24)=
144/24*24/6=3456/144=24 total

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
x=number of marbles
.
(1/4)x + (1/6) x + (1/3)x + 6 = x
(3/12)x + (2/12)x + (4/12)x + 6 = x
(9/12)x + 6 = x
6=(3/12)x
(12/3)6=(12/3)(3/12)x
72/3=x
24=x
ANSWER: She had 24 marbles.
.
CHECK:
(1/4)24 + (1/6)24 + (1/3)24 + 6 = 24
6 + 4 + 8 + 6 = 24
24 = 24