In a certain mixture consisting of sugar and cinnamon, the ratio of th

Question

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

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

Chethan92 · Accepted Answer

Sugar : Cinnamon
15 : 1

Sugar in 24kg mixture =  \frac{15}{16}*24  = 22.5

C is the answer.

Noshad · Answer

Another way to answer to the question by looking the answer
Choice.. 
Given that Sugar : Cinnamon
15 : 1 
So our answer must be less than and and near 23. 
So our answer is 22.5

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CAMANISHPARMAR · Answer

Solution:-

the ratio of the number of ounces of sugar to the number of ounces of the total is 15:16 or (after multiplying numerator and denominator by 1.5) is 22.5:24

Hence option C is the correct answer.

Aaditya96 · Answer

S:C S:C
15:1 = 15/6 :1/16

1/16*24 = ¼*6= 1,5

24-1,5 =22,5

sony1000 · Answer

So we are looking for ounces of sugar in 24 ounces of mixture. 
We know there are 15 ounces of sugar in a 16 ounces mixture, thus:

15 / 16 = X / 24

X = 22.5

John1234Gmat · Answer

Hey Guys, Question. Where does the 16 come from? I am having trouble seeing where

sssaniaa · Answer

John1234Gmat

Yeah!! exactly!! where is the 16 from??

KristinaKrntzck · Answer

You can calculate the proportion of sugar to the total amount by adding 15 and 1 (16) to create the total amount. Since you have 15s, 15/16 is the proportion of sugar to the total amount of sugar and cinnamon. I hope this helps

iamvishnu · Answer

BrentGMATPrepNow  can you please give some standrise approach for this and similar questions. I don't understand a lot form all the above solutions

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BrentGMATPrepNow · Answer

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

iamvishnu · Answer

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EpistleOlatunji1 · Answer

15X+X=24
16X=24
X=24/16
X=3/2
RECALL 15X (SUGAR MIXTURE)
RECAL X=3/2
15 x 3/2
=22.5

JeffTargetTestPrep · Answer

sugar : cinnamon = 15 : 1

Since the mixture has no other components, the fraction of the mixture that is sugar:

15/(15 + 1) = 15/16

Therefore, the amount of sugar in the mixture is:

sugar = (15/16) × 24 = (15/2) × 3 = 22.5 ounces

Answer: C

Crater · Answer

S:C:M=15:1:16

Now we need to make M 24, so divide the equation by 16 (so M becomes 1) and multiply by 24.
 S:C:M=\frac{15}{16}*24:\frac{1}{16}*24:\frac{16}{16}*24
S:C:M=22.5:1.5:24

Hence Option (C)

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