Question

The Unit 6 SBA has ten questions worth 26 points. The SBA consists of True/False questions worth 2 points each and selected response questions worth 3 points each. How many of each type of question are on the Unit 6 SBA?

Answer 1

Answer: Number of 2 points question = 4, Number of 3 points question= 6.

Explanation:

Let x = Number of 2 points question, y= Number of 3 points question.

As per given,

x+y = 10 ...(i)

2x+3y = 26 ...(ii)

Multiply 2 on both sides of (i), we get

2x+2y=20 ....(iii)

Eliminate (iii) from (ii), we get

y=6

Put value of y in (i), x+6=10

⇒ x=4

Hence, Number of 2 points question = 4, Number of 3 points question= 6.