In a certain mixture consisting of sugar and cinnamon, the ratio of the number of ounces of sugar to the number of ounce

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In a certain mixture consisting of sugar and cinnamon, the ratio of the number of ounces of sugar to the number of ounces of cinnamon is 15 to 1. How many ounces of sugar are in 24 ounces of the mixture?

A) 11.25
B) 12
C) 22.5
D) 23
E) 24

Answer: C

Source: GMAT Prep

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Gmat_mission wrote:
Sun Sep 12, 2021 8:12 am
In a certain mixture consisting of sugar and cinnamon, the ratio of the number of ounces of sugar to the number of ounces of cinnamon is 15 to 1. How many ounces of sugar are in 24 ounces of the mixture?

A) 11.25
B) 12
C) 22.5
D) 23
E) 24

Answer: C

Source: GMAT Prep
Given: The ratio of the number of ounces of sugar to the number of ounces of cinnamon is 15 to 1
(15 ounces of sugar) + (1 ounce of cinnamon) = 16 ounces of mixture
So, for every 16 ounces of mixture, we have 15 ounces of sugar and 1 ounce of cinnamon.
So, we can see that 15/16 of the mixture is sugar.

Question: How many ounces of sugar are in 24 ounces of the mixture?
Volume of sugar in the mixture = 15/16 of 24
= (15/16)(24)
= 22.5

Answer: C
Brent Hanneson - Creator of GMATPrepNow.com
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