Question

Mrs morals wrote a test with 15 questions covering spelling and vocabulary. Spelling questions (x) are worth 5 points and vocabulary questions (y) are worth 10 points. The maximum number of points possible on the test is 100.

Answer 1

Explanation:

Let x represent the number of spelling questions in the test.

Let y represent the number of vocabulary questions in the test.

Mrs morals wrote a test with 15 questions covering spelling and vocabulary. This means that

x + y = 15

Spelling questions (x) are worth 5 points and vocabulary questions (y) are worth 10 points. The maximum number of points possible on the test is 100. This means that

5x + 10y = 100 - - - - - - - - - - - 1

Substituting x = 15 - y into equation 1, it becomes

5(15 - y) + 10y = 100

75 - 5y + 10y = 100

- 5y + 10y = 100 - 75

5y = 25

y = 25/5 = 5

x = 15 - y = 15 - 5 = 10