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A contractor combined x tons of a gravel mixture that contained 10 percent gravel G, by weight, with y tons of a mixture that contained 2 percent gravel G, by weight, to produce z tons of a mixture that was 5 percent gravel G, by weight. What is the value of x ?
(1) y = 10
(2) z = 16
(2) z = 16
- a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
- b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
- c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
- d)EACH statement ALONE is sufficient to answer the question asked
- e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A contractor combined x tons of a gravel mixture that contained 10 per...
Statement (1): y = 10
This statement tells us the value of y, which represents the number of tons of a mixture that contained 2 percent gravel G. However, it doesn't provide any specific information about the value of x or the total weight of the resulting mixture (z). Therefore, statement (1) alone is not sufficient to determine the value of x.
Statement (2): z = 16
This statement tells us the value of z, which represents the total number of tons of the resulting mixture. However, it doesn't provide any specific information about the values of x or y. Therefore, statement (2) alone is not sufficient to determine the value of x.
Now let's consider both statements together. From statement (1), we know that y = 10. From statement (2), we know that z = 16. We are also given that the resulting mixture is 5 percent gravel G.
We can set up the equation based on the given information:
(0.1x + 0.02y) / z = 0.05
Substituting the values from statements (1) and (2):
(0.1x + 0.02(10)) / 16 = 0.05
(0.1x + 0.2) / 16 = 0.05
0.1x + 0.2 = 0.8
0.1x = 0.8 - 0.2
0.1x = 0.6
x = 0.6 / 0.1
x = 6
(0.1x + 0.2) / 16 = 0.05
0.1x + 0.2 = 0.8
0.1x = 0.8 - 0.2
0.1x = 0.6
x = 0.6 / 0.1
x = 6
Therefore, by considering both statements together, we can determine the value of x, which is 6 tons.
Hence, the answer is D: EACH statement ALONE is sufficient to answer the question asked.
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Community Answer
A contractor combined x tons of a gravel mixture that contained 10 per...
To find the value of x, we need to determine the amount of gravel G in the mixture produced.
Let's break down the problem step by step:
1. The contractor combined x tons of a gravel mixture that contained 10 percent gravel G, by weight.
2. The contractor also combined y tons of a mixture that contained 2 percent gravel G, by weight.
3. The resulting mixture produced z tons and contained 5 percent gravel G, by weight.
From this information, we can set up the following equations:
Equation 1: (0.10x + 0.02y) / z = 0.05
Statement 1: y = 10
This statement gives us the value of y, but it does not provide any information about x or z. Therefore, it is not sufficient to find the value of x.
Statement 2: z = 16
This statement gives us the value of z, but it does not provide any information about x or y. Therefore, it is not sufficient to find the value of x.
Statements 1 and 2 together:
With both statements, we have y = 10 and z = 16. Substituting these values into Equation 1, we get:
(0.10x + 0.02(10)) / 16 = 0.05
Simplifying the equation, we have:
(0.10x + 0.2) / 16 = 0.05
Multiplying both sides by 16, we get:
0.10x + 0.2 = 0.8
Subtracting 0.2 from both sides, we have:
0.10x = 0.6
Dividing both sides by 0.10, we get:
x = 6
Therefore, with both statements together, we can determine the value of x. Hence, the correct answer is option (C) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
Let's break down the problem step by step:
1. The contractor combined x tons of a gravel mixture that contained 10 percent gravel G, by weight.
2. The contractor also combined y tons of a mixture that contained 2 percent gravel G, by weight.
3. The resulting mixture produced z tons and contained 5 percent gravel G, by weight.
From this information, we can set up the following equations:
Equation 1: (0.10x + 0.02y) / z = 0.05
Statement 1: y = 10
This statement gives us the value of y, but it does not provide any information about x or z. Therefore, it is not sufficient to find the value of x.
Statement 2: z = 16
This statement gives us the value of z, but it does not provide any information about x or y. Therefore, it is not sufficient to find the value of x.
Statements 1 and 2 together:
With both statements, we have y = 10 and z = 16. Substituting these values into Equation 1, we get:
(0.10x + 0.02(10)) / 16 = 0.05
Simplifying the equation, we have:
(0.10x + 0.2) / 16 = 0.05
Multiplying both sides by 16, we get:
0.10x + 0.2 = 0.8
Subtracting 0.2 from both sides, we have:
0.10x = 0.6
Dividing both sides by 0.10, we get:
x = 6
Therefore, with both statements together, we can determine the value of x. Hence, the correct answer is option (C) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
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A contractor combined x tons of a gravel mixture that contained 10 percent gravel G, by weight, with y tons of a mixture that contained 2 percent gravel G, by weight, to produce z tons of a mixture that was 5 percent gravel G, by weight. What is the value of x ?(1) y = 10(2) z = 16a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer?
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A contractor combined x tons of a gravel mixture that contained 10 percent gravel G, by weight, with y tons of a mixture that contained 2 percent gravel G, by weight, to produce z tons of a mixture that was 5 percent gravel G, by weight. What is the value of x ?(1) y = 10(2) z = 16a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A contractor combined x tons of a gravel mixture that contained 10 percent gravel G, by weight, with y tons of a mixture that contained 2 percent gravel G, by weight, to produce z tons of a mixture that was 5 percent gravel G, by weight. What is the value of x ?(1) y = 10(2) z = 16a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A contractor combined x tons of a gravel mixture that contained 10 percent gravel G, by weight, with y tons of a mixture that contained 2 percent gravel G, by weight, to produce z tons of a mixture that was 5 percent gravel G, by weight. What is the value of x ?(1) y = 10(2) z = 16a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer?.
A contractor combined x tons of a gravel mixture that contained 10 percent gravel G, by weight, with y tons of a mixture that contained 2 percent gravel G, by weight, to produce z tons of a mixture that was 5 percent gravel G, by weight. What is the value of x ?(1) y = 10(2) z = 16a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A contractor combined x tons of a gravel mixture that contained 10 percent gravel G, by weight, with y tons of a mixture that contained 2 percent gravel G, by weight, to produce z tons of a mixture that was 5 percent gravel G, by weight. What is the value of x ?(1) y = 10(2) z = 16a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A contractor combined x tons of a gravel mixture that contained 10 percent gravel G, by weight, with y tons of a mixture that contained 2 percent gravel G, by weight, to produce z tons of a mixture that was 5 percent gravel G, by weight. What is the value of x ?(1) y = 10(2) z = 16a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer?.
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