Question: A bag contains $0.25, $0.10, and $0.05 coins. If these are in the ratio of 1 : 2 : 3, respectively, and the total amount of money is $30, what is the number of $0.05 coins?
(A) 40
(B) 50
(C) 100
(D) 150
(E) 200

Answer: D

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 algebra. 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.
It is asked in the question to find out the number of $0.05 coins.
Let the number of $0.25 coins be x
Now from the given ratio we get,
0.25x + 0.1(2x) + 0.05(3x) = 30
0.25x + 0.2x + 0.15x = 30
.6x = 30
6x = 300
x = 50
That's the number on 0.25 coins. We are asked for the number of 0.5 coins.
3*50 = 150
Correct option: D

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 algebra. 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.
Given that it is stated that the coins are distributed in the ratio of 1:2:3, let the number of $0.25 coins be k, the number of $0.10 coins be 2k, and the number of $0.05 coins be 3k.
Simply put, since the coefficients are simpler numbers to work with, it would be simpler to convert the dollars to cents.
$ 1 equals 100 cents. As a result, $0.25 is equal to 25 cents, $0.10 to 10 cents, and $0.05 to 5 cents.
The $0.25 coin value is equal to 25 * k, or 25 000 cents.
The value of one $0.10 coin is equal to 10 * 2 000 cents.
The value of the $0.05 coins is equal to 5 * 3000 cents.
The entire sum of money is $30, which is just three thousand cents.
25k plus 20k plus 15k equals 3000, so.
When we solve for k, we have k = 50.
3k equals 150 when the value of k is substituted.
There are 150 $0.05 coins available.
Correct option: D

Approach Solution 3:
To answer this GMAT question, apply the data that was provided in the question. These issues pertain to many different branches of mathematics. This query relates to algebra. 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.
Let's call the number of $0.25 coins "x", the number of $0.10 coins "2x" (since they are in the ratio of 1:2), and the number of $0.05 coins "3x" (since they are in the ratio of 1:2:3).
We can use this information to set up an equation for the total amount of money in the bag:
Total amount of money = (value of $0.25 coins) + (value of $0.10 coins) + (value of $0.05 coins)
$30 = $0.25x + $0.10(2x) + $0.05(3x)
Simplifying this equation, we get:
$30 = $0.25x + $0.20x + $0.15x
$30 = $0.60x
x = 50
So there are 50 $0.25 coins, 100 $0.10 coins, and 150 $0.05 coins in the bag. Therefore, the answer is that there are 150 $0.05 coins in the bag.
Correct option: D

“A bag contains $0.25, $0.10 and $0.05 coins. If these are in the ratio" - 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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