Question

Which equation 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?
O A. 2m+ 5s = 60
B. m + s = 60
O C. 2m + 5s +15 = 60
O D. 2m + 5s = 15

Answer 1

Explanation:

Let the number of MC questions = x

Let the number of SA questions = y

x + y = 15

2x + 5y = 60

Multiply the top equation by 2

2x + 2y = 30

Put this underneath the second equation and subtract

2x + 5y = 60

2x + 2y = 30 Subtract

3y = 30

y = 10 Subtract

2y = 20

y = 10

x + y = 15

x + 10 = 15

x = 5