Kali Builds A Tower using Only Red, Green, and Blue Toy Bric GMAT Problem Solving

Question: Kali builds a tower using only red, green, and blue toy bricks in a ratio of 4:3:1. She then removes 1/2 of the green bricks and adds 1/3 more blue bricks, reducing the size of the tower by 14 bricks. How many red bricks will she need to add in order to double the total number of bricks used to build the original tower?

1. 82
2. 96
3. 110
4. 120
5. 192

Answer: C
Solution and Explanation:
Approach Solution 1:
You must use the information provided in the question to solve this GMAT problem-solving question. The issues in this category come from a variety of mathematical disciplines. Particularly, this one comes from algebra.
The choice is presented in a way that makes it challenging to choose the right response. The candidates must understand the proper strategy to obtain the needed response. Out of the five options provided, only one is accurate.
R:G:B in the original ratio is 4x:3x:x.
4x + 3x + x = 8x is the original total.
The new block count is 4x, 3x/2, and 4x/3.
4x + 3x/2 + 4x/3 = 41x/6 is the new total.
According to what we are informed, "Original total" - "New total" = 14 --> "8x - 41x/6 = 14 --> x = 12"
New total: 41x/6 = 82; original total: 8x = 96.
She must add 192 - 82 = 110 in order to obtain 2*96 = 192 bricks, or to simply double the initial amount of bricks.
C is the correct answer.

Approach Solution 2:
You must use the information provided in the question to solve this GMAT problem-solving question. The issues in this category come from a variety of mathematical disciplines. Particularly, this one comes from algebra.
The choice is presented in a way that makes it challenging to choose the right response. The candidates must understand the proper strategy to obtain the needed response. Out of the five options provided, only one is accurate.
R : G : B
4 : 3 : 1
G = 3B
1/3)B - (1/2)G = -14
(1/3)B - (1/2)*3B = -14
B = 12
R : G : B
48 : 36 : 12 = 96
96 - (1/2)G + (1/3)B = 96 - 18 + 4 = 82
96 x 2 = 192 - 82 = 110
C is the correct answer.

Approach Solution 3:
You must use the information provided in the question to solve this GMAT problem-solving question. The issues in this category come from a variety of mathematical disciplines. Particularly, this one comes from algebra.
The choice is presented in a way that makes it challenging to choose the right response. The candidates must understand the proper strategy to obtain the needed response. Out of the five options provided, only one is accurate.
Let's say there are 96 bricks overall (4:3:1, which is an 8-part multiple and so close to 100). Additionally, keep in mind that the units obtained must be divisible by 6 (i.e., by 2 and 3).
Red: 48 pieces
36 units are green.
Blue: 12 pieces.
Half of the green bricks are removed: 36 - 18 = 18 left
additional blue bricks by a third: 12 + 4 = 16.
82 bricks total as of now: 48 + 18 + 16 bricks.
Size reduction: 96 – 14 = 82 units.
The length we require is 96 * 2 = 192 units.
We need an additional 110 units (192 - 82). (Only red).
C is the correct answer

“Kali builds a tower using only red, green, and blue toy bric" - 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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