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Four children received a gift of candy, which they shared equally. Th
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23 Jun 2022, 00:46
23 Jun 2022, 00:46
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75% (01:32) correct
25% (01:55) wrong based on 4 sessions
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Four children received a gift of candy, which they shared equally. The oldest child then gave half of his share to his youngest sister. Another brother kept three-fourths of his share and gave the rest to the youngest sister. What fraction of the candy did the youngest sister receive?
A. 1/16
B. 3/16
C. 1/2
D. 5/16
E. 7/16
A. 1/16
B. 3/16
C. 1/2
D. 5/16
E. 7/16
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
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Four children received a gift of candy, which they shared equally. Th
[#permalink]
24 Jun 2022, 04:46
24 Jun 2022, 04:46
1
Let's say each child receives X. That means the total amount is 4X.
Call them A, B, C, and D in order of age (counting down).
D is the one people keep giving candy to, the lucky little child.
A gives (1/2)X to D.
One of the others (B or C; doesn't matter which) gives (1/4)X to D.
D started with X, then receives (1/2)X + (1/4)X or (3/4)X. That is, her amount of candy is now X + (3/4)X = (7/4)X
The fraction this describes as a function of the total is D/total = (7/4)X/(4X) = 7/16. Answer E.
Call them A, B, C, and D in order of age (counting down).
D is the one people keep giving candy to, the lucky little child.
A gives (1/2)X to D.
One of the others (B or C; doesn't matter which) gives (1/4)X to D.
D started with X, then receives (1/2)X + (1/4)X or (3/4)X. That is, her amount of candy is now X + (3/4)X = (7/4)X
The fraction this describes as a function of the total is D/total = (7/4)X/(4X) = 7/16. Answer E.
gmatclubot
Four children received a gift of candy, which they shared equally. Th [#permalink]
24 Jun 2022, 04:46
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