Question

A test consists of multiple choice questions worth 2 points and essay questions worth 8 points. The test has 29 questions that are worth a total of 100 points. Use a model to determine how many multiple choice questions are on the test.

16

19

22

25

Answer 1

Let \(x\) = Number of 2 point questions.
\(29-x\) = Number of 8 point questions.
\[2x+8(29-x)=100\]
\[2x+232-8x=100\]
\[6x=132\]
\[x=22\]
\[29-x=7\]
Number of 2 point questions = \(22\)
Number of 8 point questions = \(7 \)

Answer 2

Thanks (:

Answer 3

You're welcome :-)