Question

Mr. Randall is giving a test that has 12 more three-point questions than five-point questions. The test is worth 100 points. Which system represents this information?

Answer 1

The system will be:

x - y = 12

3x + 5y = 100

Explanation:

Let The number of three-point questions ⇒ x

And the number of five-point questions ⇒ y

The giving a test has 12 more three-point questions than five-point questions.

So, x - y = 12

The test is worth 100 points.

So, 3x + 5y = 100

So. the system which represents this information is:

x - y = 12

3x + 5y = 100

And the solution of the system is x = 20 and y = 8

The number of three-point questions ⇒ x = 20 questions.

The number of five-point questions ⇒ y = 8 questions.