SOLUTION: Could you please help me answer this problem: On Monday, Alice bought a bag of marbles. On Tuesday, she gave 2/3 of her marbles to a friend. on Wednesday, she gave away 1/3 of her

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Could you please help me answer this problem: On Monday, Alice bought a bag of marbles. On Tuesday, she gave 2/3 of her marbles to a friend. on Wednesday, she gave away 1/3 of her       Log On


   



Question 48809: Could you please help me answer this problem: On Monday, Alice bought a bag of marbles. On Tuesday, she gave 2/3 of her marbles to a friend. on Wednesday, she gave away 1/3 of her remaining marbles. If she then had 8 marbles left, how many marbles did she buy originally?
Found 2 solutions by checkley71, stanbon:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
(x-2/3x)(2/3)=8 or (1/3x)*2/3=8 or 2x/9=8 or 2x=72 or x=36 marbles she started with.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
On Monday, Alice bought a bag of marbles. On Tuesday, she gave 2/3 of her marbles to a friend. on Wednesday, she gave away 1/3 of her remaining marbles. If she then had 8 marbles left, how many marbles did she buy originally?
Let "x" be the original number of marbles.
EQUATIONS:
x-(2/3)x = (1/3)x
(1/3)x-(1/3)(1/3)x= (1/3)x - (1/9)x = (2/9)x
(2/9)x= 8
x=36 (original number of marbles)
Cheers,
Stan H.