Question

a teacher has created a 100 point test with 22 questions. If each multiple choice question is worth 4 points and each short answer is worth 6 points. How many of each type are on the test?

Answer 1

There are 16 multiple choices and 6 short answers.

Explanation:

Let the number of multiple choice questions be x and the number of short answer questions be y.

x + y = 22 (total number of questions)

4x + 6y = 100 (total number of points)

x = 22 - y

4(22 - y) + 6y = 100

88 - 4y + 6y = 100

2y = 100 - 88

y = 6

x + 6 = 22

x = 16

Hence, there are 16 multiple choices and 6 short answers.

Hope this helped!