SOLUTION: Three student shared a bag of rice such that the first took 1/4 and the second took 3/4 of the remainder what fraction of bag of rice did the third take.

Question 1146002: Three student shared a bag of rice such that the first took 1/4 and the second took 3/4 of the remainder what fraction of bag of rice did the third take.
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!

The first student took 1/4 bag.
1 bag minus 1/4 bag = 4/4-1/4 bag = 3/4 bag which was the remainder
The second student took 3/4 of that remainder of 3/4 bag, 
and 3/4 of 3/4 bag is (3/4)×(3/4 bag) = 9/16 bag.
3/4 bag minus 9/16 bag = 3/4-9/16 bag = 12/16-9/16 bag = 3/16 bag.

Answer: 3/16 bag.

Checking by adding the fractions of a bag that each got:

1/4+9/16+3/16 bag = 4/16+9/16+3/16 bag = 16/16 = 1 bag 

Edwin

RELATED QUESTIONS
Your elderly neighbor places a bag of rice on your doorstep each morning. The first day,... (answered by ikleyn)

A man had a sum of money which he sells among three children. The first took half of the... (answered by Theo)

Mrs. Haines, Mrs. Nuemann and Mrs. Dowd shared a sum of money. Mrs. Haines took 1/3 of... (answered by TimothyLamb)

Alex, Benjamin and Caris shared some pancakes. Caris took {{{3/4}}} of the pancakes and... (answered by josgarithmetic,MathTherapy,greenestamps)

A man is carrying rice on a journey. He passes through three custom stations. At the... (answered by ankor@dixie-net.com)

Javier and Kumar shared some cards. Javier took 4/11 of the cards while Kumar took the (answered by MathLover1,greenestamps)

Daniel had some toys. He gave 1/4 of his toys to Jed, 1/3 to Tim and shared the remainder (answered by greenestamps,Edwin McCravy)

Two boxes of groceries each have a mass of 20 kg. The mass of the ﬁrst box... (answered by josgarithmetic)