Answer: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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