G.I. problem from practice test

[datonman]

Here is the question as follows:

The pie chart to the left shows the number of votes(in thousands) received by the six political parties in Country X's most recent elections. Country X grants each party a number of its 150 parliamentary seats in proportion to the number of votes that party received, rounded to the nearest seat.

Parties B, C, and D have formed a coalition that controls a majority of votes and, therefore, a majority of parliament.

The second question asks how many parties received less than 5% of the popular vote. The answer choices are given. If you can't see the top one, it's 83.

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Hi datonman,

Since you haven't posted YOUR specific question about this prompt, I assume that you just want to know how someone could go about answering it. Here's how I did it:

The numbers in the pie chart can be grouped and/or rounded, so you can get a reasonable estimate of the total number of votes. Here's how:

The numbers are:

2872
2322 ---> about 5200

806
501 ---> about 1300

257
83 --> 340

Total = about 5200+1300 + 340 = 6840

10% of 6840 = 684
5% of 6840 = 342

So we're looking for the number of parties that received fewer than approximately 342 votes. From the table, I can see 2 (party E and party F)

Final Answer:2 parties

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