Question

Which equations represents the number of points in the problem below? A test is worth 60 points. Multiple-choice questions are worth 2 points, and short-answer questions are worth 5 points. If the test has 15 questions, how many multiple-choice questions are there?

Answer 1

Let x be number of multiple-choice questions and y be number of short answer questions. Total number of questions are 15, so

`\begin{gathered} x+y=15 \\ y=15-x \end{gathered}`

The worth of multiple choice question is 2 points, so worth of x multiple choice questions are 2x and worth of y short answer questions are 5y. Total worth of test is 60. So equation is,

`2x+5y=60`