Question

An exam worth 468 points contains 68 questions. Some questions are worth 8 points, and

the others are worth 6 points. How many 8 point and 6 point questions are on the test?

Answer 1

30 questions of 8 points 38 of 6 points

Explanation:

e = questions worth 8 points

s= questions worth 6 points

e+s = 68 s = 68-e

8*e + 6( 68-e) = 468

8e +408 - 6e = 468

2e +408 = 468

2e = 60

e = 30 30 questions worth 8 points

68-30 = 38 38 questions worth 6 points

Answer 2

\38 questions 6 points

30 questions 8 points

Explanation:

I will call 6 points question is a

I will call 8 points question is b

We know that:

a + b = 68 (1)

6a + 8b = 468 (2)

Multiply the (1) by 6 we got

6a + 6b = 408 (3)

Use (3) minus for (2), we got

0 - 2b = -60

-2b = -60

2b = 60

b = 30

so a would = 68 - 30 = 38

So there would be 38 questions 6 points

30 questions 8 points

Hope this help :3