linear equation

A 50 item exam has a total of 145 points.The exam is composed of 2 and 5 points.How many 2 points and 5 points items?
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1 Answer

If T=number of 2-point questions and F=number of 5-point questions then T+F=50, 2T+5F=145.

T=50-F, so substituting: 2(50-F)+5F=145, 100-2F+5F=145, 3F=45, F=15 so T=50-15=35.

There are 35 2-point questions and 15 5-point questions.

by Top Rated User (1.2m points)

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