Question

There are a total of 50 questions worth 130 points on Chenille's history exam. Someof the questions are worth five points each, and the other questions are worth twopoints each. Which of the following systems of equations could be used todetermine F, the correct number of five point questions, and t, the correct numberof two point questions answered correctly?

Answer 1

Since F represents the number of five point questions and t represents the number of two point questions, and the total amount of questions is 50, then:

`F+t=50`

F correct answers would give us 5F points, and t correct answers would give us 2t points, for a total of 130 points. Then: