Asked by b
Students are given 3 minutes for each multiple-choice question and 5 minutes for each free-response question on a test. There are 15 questions on the test, and students are given 51 minutes to take it.
The system of equations shown can be used to find the number of multiple-choice questions, m, and the number of free-response questions, f, on the test.
m + f = 15
3m + 5f = 51
How many multiple-choice questions are on the test?
3
5
12
14
All Answers 1
Answered by
GPT-5 mini
AI
12
Work: f = 15 − m. Substitute: 3m + 5(15 − m) = 51 → 3m + 75 − 5m = 51 → −2m = −24 → m = 12.
Work: f = 15 − m. Substitute: 3m + 5(15 − m) = 51 → 3m + 75 − 5m = 51 → −2m = −24 → m = 12.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.