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Question 35987: Yuki, Mollie, Brandon and Anna share an apple pie for desert. Bradon eats half the amount Mollie eats. Yuki eats four times as much pie as Brandon. Mollie eats 1/4 of the pie. How much does Anna eat?
Answer by vidhyak(98)   (Show Source):
You can put this solution on YOUR website! Lets assume the Total size of the pie is n
and Yuki, Mollie, Brandon and Anna are represented by the letters Y, M, B, A respectively.
Mollie eats 1/4 of the pie.
M = n/4 ( where n is the size of the total Pie)
Bradon eats half the amount Mollie eats.
B = M/2 (substitute for M) = n/4/2 = n/8 (Brandon ate 1/8th of the Pie)
Yuki eats four times as much pie as Brandon.
Y= 4(B) (substitute for B) = 4(n/8) = n/2 (Brandon ate 1/2 the Pie)
Since all 4 of them share teh apple pie
Y + M + B + A = n
Substituting the values for Y, M, B
Y = n/2
M = n/4
B = n/8
n/2 + n/4 + n/8 + A = n
7n/8 + A = n
A = n - 7n/8
A= n/8 = 1/8 * n
So Anna ate 1/8th Pie
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