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# What is the total weight of four crates?

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Math Expert
Joined: 02 Sep 2009
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What is the total weight of four crates?  [#permalink]

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19 Feb 2018, 22:21
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Difficulty:

25% (medium)

Question Stats:

90% (00:37) correct 10% (00:18) wrong based on 47 sessions

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What is the total weight of four crates?

(1) The average weight of the four crates is 200 pounds.

(2) The total weight of two of the crates is exactly three times the total weight of the other two crates.

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Re: What is the total weight of four crates?  [#permalink]

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19 Feb 2018, 22:45
What is the total weight of four crates?

(1) The average weight of the four crates is 200 pounds.
Average = 200 pounds for four crates. So total weight = 200 * 4 = 800 pounds. This statement gives exactly what we wanted. Sufficient.

(2) The total weight of two of the crates is exactly three times the total weight of the other two crates.
This option gives us ratio of weight. But we do not have enough information to calculate actual weight - Insufficient.

Ans: Option A
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Re: What is the total weight of four crates?  [#permalink]

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20 Feb 2018, 23:35
Bunuel wrote:
What is the total weight of four crates?

(1) The average weight of the four crates is 200 pounds.

(2) The total weight of two of the crates is exactly three times the total weight of the other two crates.

Statement 1 sufficient:

Avg = 200
total = Avg*no
total = 200*4 = 800

Statement nt sufficient:
crates : A,B,C,D
Given : A+B = 3(C+D)
T=A+B+C+D =>> 4(C+D)
values unknown, hence not sufficient.

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Re: What is the total weight of four crates?  [#permalink]

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23 Feb 2018, 09:31
Bunuel wrote:
What is the total weight of four crates?

(1) The average weight of the four crates is 200 pounds.

(2) The total weight of two of the crates is exactly three times the total weight of the other two crates.

Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.

The first step of the VA (Variable Approach) method is to modify the original condition and the question, and then recheck the question.

We can modify the question in the following way.

Assume a, b, c, and d are weights of four crates.
The question asks for the value of a + b + c + d.
a + b + c + d = ?

Condition 1) :
( a + b + c + d ) / 4 = 200 ⇔ a + b + c + d = 800
Condition 1) is same as the question.
It is sufficient.

Condition 2) :
a + b = 3( c + d ).
This equation doesn't give any information about the sum of a, b, c and d.
Thus condition 2) is not sufficient.

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Re: What is the total weight of four crates?  [#permalink]

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23 Feb 2018, 15:03
St 1 :The average weight of the four crates is 200 pounds. This means Total weight divided by 4 is 200. Then the total weight should be 200 x 4 = 800 pounds sufficient
St 2 : This statement gives only the ratio of weight of 2 barrels to the weight of other 2 barrels. Insufficient. So the answer is B.
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GMAT 1: 710 Q49 V36
Re: What is the total weight of four crates?  [#permalink]

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24 Feb 2018, 08:40
Bunuel wrote:
What is the total weight of four crates?

(1) The average weight of the four crates is 200 pounds.

(2) The total weight of two of the crates is exactly three times the total weight of the other two crates.

Avg x n = total

A) 200 for 4 boxes and thus total = 800

B this gives a ratio b/w boxes and thus insufficient

(A) imo
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Re: What is the total weight of four crates?  [#permalink]

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26 Feb 2018, 21:50
Bunuel wrote:
What is the total weight of four crates?

(1) The average weight of the four crates is 200 pounds.

(2) The total weight of two of the crates is exactly three times the total weight of the other two crates.

Solu IMO A
statement 1 average weight of 4 crates is 200 formula of average is total/no.of items so lets take x as total x/4=200 x=800 so total is 800 statement is sufficient. A or D will be answer.
statement 2 total of 2 crates is x and other 2 crates is y
so x=3y
total is x+2y don't have any value so A is the answer.
Re: What is the total weight of four crates? &nbs [#permalink] 26 Feb 2018, 21:50
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