SOLUTION: Rene had a box of cupcakes of which she gave 1/2 to her friend John. John gave 3/4 of his share to his friend elena. What part of the original box of cupcakes did Elena get?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Rene had a box of cupcakes of which she gave 1/2 to her friend John. John gave 3/4 of his share to his friend elena. What part of the original box of cupcakes did Elena get?       Log On


   

Question 1167152: Rene had a box of cupcakes of which she gave 1/2 to her friend John. John gave 3/4 of his share to his friend elena. What part of the original box of cupcakes did Elena get?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
rene has 1 box of cupcakes.

she gives 1/2 to john, so john gets 1/2 of a box and she keeps 1/2 of a box.

john gives 3/4 of his share to elena.

elena gets 3/4 * 1/2 = 3/8 of the box.

john keeps 1/4 * 1/2 = 1/8 of the box.

rene keeps 1/2 of the box.
john keeps 1/8 of the box.
elena gets 3/8 of the box.

1/2 + 1/8 + 3/8 = 4/8 + 1/8 + 3/8 = 8/8 = 1.

all the parts add up, confirming the calculations are correct.