A 110-point exam is made up of 50 questions. Some questions are worth 2 points, and others are worth 4 points. How many of each type of question are on the test?

*Hint: This is a system of equations problem.*

x - the number of the questions worth 2 points y - the number of the questions worth 4 points
x + y = 50 2 x + 4 y = 110 from the 1st equation: y = 50 − x substitute 50-x for y in the 2nd equation: 2 x + 4 ( 50 − x ) = 110 2 x + 200 − 4 x = 110 − 2 x = − 90 x = 45 y = 50 − 45 = 5
The answer: There are 45 questions worth 2 points and 5 questions worth 4 points.

Answered by naǫ | 2024-06-10

The exam consists of 45 questions worth 2 points each and 5 questions worth 4 points each. This is derived from solving a system of equations that represent the total number of questions and the total points awarded. The calculations showed that the values for x and y are 45 and 5, respectively.
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Answered by naǫ | 2024-12-26