Atest has twenty questions worth 100 points. the test consists of true/false question worth 3 points each multiple choice questions worth 11 points each. how many multiple choice questions are on the test

the number of True/false questions that the test has is 15

the number of multiple choice questions that the test has is 5

Step-by-step explanation:

Let x represent the number of True/false questions that the test has.

Let y represent the number of multiple choice questions that the test has.

The total number of questions in the test is 20. It means that

x + y = 20

The test consists of True/false question worth 3 points each multiple choice questions worth 11 points each. All the questions are worth 100 points. This means that

3x + 11y = 100 - - - - - - - - - - -1

Substituting x = 20 - y into equation 1, it becomes

3(20 - y) + 11y = 100

60 - 3y + 11y = 100

- 3y + 11y = 100 - 60

8y = 40

y = 40/8 = 5

x = 20 - y = 20 - 5

x = 15

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