ISEE Quantitative Comparisons Question 164: Answer and Explanation

• A. The quantity in Column A is greater.
• B. The quantity in Column B is greater.
• C. The two quantities are equal.
• D. The relationship cannot be determined from the information given.

Correct Answer: C

Explanation:

C

The value of Column A is , as given. Finding the value of Column B requires a few steps. First, cross multiply the given equation: 7x = 4y. Now isolate one of the variables by dividing both sides by the number in front of that variable. If you isolate y, the result is y = . Substitute for y in Column B: . Simplify first by creating a common denominator for the elements in the denominator: . Now further simplify the value in Column B by multiplying the numerator and denominator by the reciprocal of the denominator (which is