## Word problem

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### Word problem

by didieravoaka » Sat Apr 23, 2016 7:06 am

Thanks to help on this one.

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by [email protected] » Sat Apr 23, 2016 10:09 am
HI didieravoaka,

This question is essentially about basic arithmetic, but we can use TEST IT to eliminate some of the wrong answers.

We're told that a store had a sale on bottles of juice S and bottles of juice T. We're told that 1/2 the total number of bottles of juice S in stock were sold. We're asked which juice (S or T) had more of the bottles sold that day.

1) Two-thirds of the total number of bottles of juice T in stock were sold on Monday.

From this Fact, we now know that 2/3 of T and 1/2 of S were sold.

IF...
T=3, and S=2, then 2 bottles of T and 1 bottle of S were sold and the answer to the question is T.
T=3 and S=10, then 2 bottles of T and 5 bottles of S were sold and the answer to the question is S.
Fact 1 is INSUFFICIENT.

2) At the beginning of the sale, there was a total of 90 bottles of juice S and 60 bottles of juice T in stock.

This Fact tells us how many bottles we STARTED with, but we don't know how many of each were sold.
Fact 2 is INSUFFICIENT.

Combined, we can calculate the EXACT number of bottles sold for each (although doing so is not necessary). We will then know how many of each were sold and we can answer the given question.

Combined, SUFFICIENT.

Final Answer: C

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by OptimusPrep » Sun Apr 24, 2016 8:11 pm
didieravoaka wrote:

Thanks to help on this one.
Given: Sale of juice bottles S and T.
Assume S bottles of juice S and T bottles of juice T.
S/2 bottles of juice S were sold.

Required: Is S >T or is T > S?

Statement 1: 2/3 T bottles were sold.
And T/2 were sold
But we cannot say which bottles were sold more as we know nothing about the relation between S and T
INSUFFICIENT

Statement 2: S = 90 and T = 60
We know that 45 bottles of S were sold, but we know nothing about T.
INSUFFICIENT

Combining 1 and 2:
# of s bottles sold = 45
# of T bottles sold = (2/3)*60 = 40 {From statement 1}
Hence S > T
SUFFICIENT

Correct Option: C
Does this clear your doubt?

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