Two-Part Analysis - GMAT Data Insights

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Question

Over a seven-year period, from 2002 to 2009, the number of babies born to married couples increased despite a decrease in marriages from 17,000 marriages in 2002.

In the given expression, and represent the percent change in the babies and marriages, respectively. represents the number of babies per married couple in 2002. The percent change in a quantity is calculated by the formula:

Identify the following with the given information,

I. The expression that represents the number of babies born in 2002.

II. The expression of the number of babies born per family in 2009.

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Answer

To identify,

I. The expression that represents the number of babies born in 2002.

Recall the given information in this particular question.

It is known that in 2002 there are 17,000 marriages and represents .

Using this information to create a mathematical expression is as follows.

Now to identify,

II. The expression of the number of babies born per married couple in 2009.

Use the formula given

This part of the problem is asking for a ratio, but the variables that are given are percents.

Therefore, the 100’s are there because M and B are percent quantitie_s._ They are both added because M is a negative number.

So the number in the numerator is the percentage of babies that exist in 2009 compared to 2002 (a number that will be less than 100). The denominator is the percentage of the 2002 marriages that exists in 2009 (a number greater than 100).

Thus the solution is,

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