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Three hungry children, Sharon, Carol, and Elinor, agree to divide a batch of cookies in the ratio 3 : 5 : 7, respectivel

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by Gmat_mission » Thu Nov 19, 2020 11:30 am

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Three hungry children, Sharon, Carol, and Elinor, agree to divide a batch of cookies in the ratio 3 : 5 : 7, respectively. If Sharon’s share was 15 cookies, how many cookies were in that batch?

A. 60
B. 75
C. 120
D. 150
E. 750

Answer: B

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Re: Three hungry children, Sharon, Carol, and Elinor, agree to divide a batch of cookies in the ratio 3 : 5 : 7, respect

by Scott@TargetTestPrep » Wed Nov 25, 2020 8:28 am
Gmat_mission wrote: ↑
Thu Nov 19, 2020 11:30 am
 Three hungry children, Sharon, Carol, and Elinor, agree to divide a batch of cookies in the ratio 3 : 5 : 7, respectively. If Sharon’s share was 15 cookies, how many cookies were in that batch?

A. 60
B. 75
C. 120
D. 150
E. 750

Answer: B

Solution:

We can let 3x, 5x, and 7x be the number of cookies that Sharon, Carol, and Elinor have, respectively. We can create the equation:

3x = 15

x = 5

Since the total number of cookies, in terms of x, is 3x + 5x + 7x = 15x, the total number of cookies is 15(5) = 75.

Answer: B

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