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?
X + y = 24....multiply by -3 3x + 5y = 100 --------------- -3x - 3y = - 72 (result of multiplying by -3) 3x + 5y = 100 --------------add 2y = 28 y = 28/2 y = 14
x + y = 24 x + 14 = 24 x = 24 - 14 x = 10
solution is (10,14)...and x represents 3 point q's and y represents 5 point q's......so this tells me there are 10 three point q's and 14 five point q's.
