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Next week your math teacher is giving a chapter test. The test will consist of 35 questions. some problems r worth 2 point and some r worth 4 points. there are 20 questions worth 2 points. how many problems are worth 4 points. solve by substitution



Answer :

There are 35 total questions. You already know that 20 of the questions are worth 2 points. You subtract 20 from 35. 35-20=15. So 15 questions are worth 4 points.
Total questions~35. Worth 2 points~20. Worth 4 points~15.

20 questions are worth 2 points and 15 questions are worth 4 points.

Let x represent the number of problems worth 2 points and y represent the number of problems worth 4 points.

The test will consist of 35 questions. Hence:

x + y = 35     (1)

There are 20 questions worth 2 points, hence x = 20:

x + y = 35

20 + y = 35

y = 15

Therefore 20 questions are worth 2 points and 15 questions are worth 4 points.

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