Question: 4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?

(A) 4
(B) 8
(C) 12
(D) 16
(E) 18

Answer: B

Solution and Explanation:

Approach Solution 1:
To answer this GMAT question, apply the data provided in the question. These issues pertain to many different branches of mathematics. This query relates to basic mathematics. Because of how the options are set up, it is hard to choose the best one. Applicants must be able to understand the proper strategy for getting the desired response. There is only one correct answer out of the five options offered.
Let the required number of bottles be x.
More weavers, More mats (Direct Proportion)More days, More mats (Direct Proportion)
Wavers 4:8
Days 4:8::4:x
This can be written as
4/8 = 4/x
4x = 32
x= 16.
Correct Option: B

Approach Solution 2:
To answer this GMAT question, apply the data provided in the question. These issues pertain to many different branches of mathematics. This query relates to basic mathematics. It is challenging to choose the best option due to the way the options are presented. Applicants must be able to understand the proper strategy for getting the desired response. There is only one correct answer out of the five options offered.
We can start by using the formula:
work = rate x time
where "work" is the amount of mats woven, "rate" is the rate of weaving in mats per day per weaver, and "time" is the number of days.
From the given information, we know that:
4 mat-weavers can weave 4 mats in 4 days.
This means that the rate of weaving for each weaver is:
rate = work / time = 4 mats / (4 days x 4 weavers) = 1/4 mat per day per weaver
Now we can use this rate to find how many mats 8 mat-weavers can weave in 8 days:
work = rate x time = (1/4 mat per day per weaver) x (8 days x 8 weavers) = 16 mats
Therefore, 8 mat-weavers can weave 16 mats in 8 days.
Correct Option: B

Approach Solution 3:
Let's assume that each mat-weaver weaves at a constant rate, and that the total amount of work required to weave a mat is the same for each mat. In other words, we can assume that the work is proportional to the number of mats and the number of mat-weavers.
Let W be the total amount of work required to weave a mat. Then, the total amount of work required to weave 4 mats is 4W. We can write:
4W = (rate x time x number of mat-weavers) x 4
where "rate" is the rate of weaving for each mat-weaver, "time" is the number of days, and "number of mat-weavers" is the number of mat-weavers.
We can simplify this equation to:
W = rate x time x number of mat-weavers
Since we are given that 4 mat-weavers can weave 4 mats in 4 days, we can plug in these values to get:
W = (1/4 mats per day per mat-weaver) x 4 days x 4 mat-weavers = 4 mats
Therefore, the total amount of work required to weave a mat is 4W = 16.
Now we can use this information to find how many mats 8 mat-weavers can weave in 8 days. We can write:
rate x time x number of mat-weavers = (number of mats) x (total amount of work required to weave a mat)
Plugging in the values we have, we get:
rate x 8 days x 8 mat-weavers = (number of mats) x 16
Simplifying, we get:
rate x 64 = (number of mats) x 16
Dividing both sides by 16, we get:
rate x 4 = number of mats
We know that the rate of weaving for each mat-weaver is 1/4 mats per day per mat-weaver. So we can plug this in to get:
1 mats per day per 4 mat-weavers x 8 days x 8 mat-weavers = number of mats
Simplifying, we get:
number of mats = 16
Therefore, 8 mat-weavers can weave 16 mats in 8 days.
Correct Option: B

“4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many" - is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been borrowed from the book “GMAT Official Guide Quantitative Review”.

To understand GMAT Problem Solving questions, applicants must possess fundamental qualitative skills. Quant tests a candidate's aptitude in reasoning and mathematics. The GMAT Quantitative test's problem-solving phase consists of a question and a list of possible responses. By using mathematics to answer the question, the candidate must select the appropriate response. The problem-solving section of the GMAT Quant topic is made up of very complicated math problems that must be solved by using the right math facts.

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