Question

On a test you correctly answer 6 5 point questions and 8 2 point questions you earn a 92% of the possible points on the test. How many points P is the test worth?

Answer 1

Answer:the test is worth 50 points.

Step-by-step explanation:

Let P represent the total number of points in the test.

On a test you correctly answer 6 5 point questions. This means that the total number of points that you got from answering 6 questions would be

6 × 5 = 30

You also answered eight 2 point questions correctly. This means that the total number of points that you got from answering 8 questions would be

8 × 2 = 16

Total number of points that you got would b me

30 + 16 = 46

You earn 92% of the possible points. This means that 92% of P = 46. Therefore,

92/100 × P = 46

0.92P = 46

P = 46/0.92 = 50