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?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Not quite sure sorry edit : Oh sorry I supposed to add this in the comment section
The answer is C because multiply and divide by (x+2)(2x+3)
= ( (x+9)(x+2) + (x+4)(2x+3) ) ( (x+2)(2x+3))
= ( (x^2+11x+18) + (2x^2+11x+12) ) / ( 2x^2+7x+6)
= (3x^2+22x+30) / (2x^2+7x+6)