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Bunuel
In a certain class, some students donated cans of food to a local food bank. What was the average (arithmetic mean) number of cans donated per student in the class?

(1) The students donated a total of 56 cans of food.
(2) The total number of cans donated was 40 greater than the total number of students in the class.



NEW question from GMAT® Official Guide 2019


(DS03138)


We are to just find info is enough to answer..

What do we require for average
1) total cans - C
2) total students- S

Let's what info each equation gives..
(1) The students donated a total of 56 cans of food.
C=56
Gives us C, but S NOT known
Insufficient
(2) The total number of cans donated was 40 greater than the total number of students in the class.
C=40+S
Only a linear equation in two variables
Insufficient

Combined
Two linear equation with 2 unknowns
Sufficient

C
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Video solution from Quant Reasoning:
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I thought mean was all the numbers added together divided by the number of terms?
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Bunuel
In a certain class, some students donated cans of food to a local food bank. What was the average (arithmetic mean) number of cans donated per student in the class?

(1) The students donated a total of 56 cans of food.
(2) The total number of cans donated was 40 greater than the total number of students in the class.



NEW question from GMAT® Official Guide 2019


(DS03138)

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Answer: Option C

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Bunuel
In a certain class, some students donated cans of food to a local food bank. What was the average (arithmetic mean) number of cans donated per student in the class?

(1) The students donated a total of 56 cans of food.
(2) The total number of cans donated was 40 greater than the total number of students in the class.



NEW question from GMAT® Official Guide 2019


(DS03138)
Solution:

Question Stem Analysis:

We need to determine the average number of cans of food donated per student in the class.

Statement One Alone:

Although we know the total number of cans of food donated, we don’t know the number of students in the class, and thus we can’t determine the average number of cans of food donated per student in the class. Statement one alone is not sufficient.

Statement Two Alone:

Although we know that the total number of cans donated was 40 greater than the total number of students in the class, we know neither the total number of cans donated nor the number of students in the class. Thus, we can’t determine the average number of cans of food donated per student in the class. Statement two alone is not sufficient.

Statements One and Two Together:

With the two statements, we see that a total of 56 cans were donated, and the number of students in the class was 56 - 40 = 16. Thus, the average number of cans donated was 56/40 = 7/5 = 1.4. The two statements together are sufficient to answer the question.


Answer: C
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