Question

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test?
A. The test contains 4 three-point questions and 20 five-point questions.
b. The test contains 10 three-point questions and 14 five-point questions.
c.The test contains 14 three-point questions and 10 five-point questions.
d. The test contains 20 three-point questions and 8 five-point questions.

Answer 1

B.
So when you solve the system of equations you get that y=14 and x=10. When you plug those into the original equations you get true statements.