Question

a history teacher is writing a test worth 100 points. She uses multiple-choice questions worth 6 points each and true/false questions worth 2 points each. She wants the test to have three times as many multiple-choice questions as true/false questions. Let m represent the number of multiple-choice questions on the test, and let t represent the number of true/false questions. Which system of equations can be used to find how many of each type of question she should write.

Answer 1

Answer:

6m + 2t = 100

AND

m=3t

solution t=5 m=15

Step-by-step explanation:

6m + 2t = 100 as each m question gives 6 points and each t question gives 2

m=3t as m questions are 3 times t questions

Answer 2

6m + 2t = 100

AND

m=3t

Step-by-step explanation: