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Mr. Gomez decided to give a test worth 90 points and contains 25 questions multiple-choice questions are worth three points and Word problems are worth four points how many of each of these questions are there

Respuesta :

Answer: the test has 10 multiple-choice questions and 15 Word problems questions.

Step-by-step explanation:

Let x represent the number of multiple-choice questions in the test.

Let y represent the number of Word problems questions in the test.

The total number of multiple-choice and Word problems questions in the test is 25. This means that

x + y = 25

The multiple-choice questions are worth three points and Word problems are worth four points. The test is worth a total of 90 points. This means that

3x + 4y = 90 - - - - - - - - - - -1

Substituting x = 25 - y into equation 1, it becomes

3(25 - y) + 4y = 90

75 - 3y + 4y = 90

- 3y + 4y = 90 - 75

y = 15

x = 25 - y = 25 - 15

x = 10

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