What is the value of ≤ft(A + 3B/7) ? (1) 5600A + 2400B = 12{,}000. (2) 50B - 50 + 250A = 9700 - 4200A - 1900B.

Correct Answer is : Either statement BY ITSELF is sufficient to answer the question.

Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

Either statement BY ITSELF is sufficient to answer the question.

Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

Correct Answer is : Either statement BY ITSELF is sufficient to answer the question.

Test Index

GMAT Quantitative Reasoning Practice Test 8

Question : 4 of 76

Marks: +1, -0

What is the value of

\left(A + \frac{3B}{7}\right)

5600A + 2400B = 12{,}000

50B - 50 + 250A = 9700 - 4200A - 1900B

Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
Either statement BY ITSELF is sufficient to answer the question.
Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

Solution:

Simplify the (1) statement by dividing both sides by 5600:

A + \frac{3B}{7} = \frac{15}{7}

. This statement is sufficient.

Simplify the (2) statement by adding similar items to get:

4550A + 1950B = 9750

. Divide both sides by 4550 to get:

A + \frac{3B}{7} = \frac{15}{7}

this statement is also sufficient

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