Question

A group of 8 friends played a round of miniature golf. The mean of the final scores for the first 6 friends to finish the course is exactly 54. The mean of the final scores for all 8 friends is exactly 51. Which of the following are the possible final scores of the last 2 friends to finish the course?

A. 51 and 51
B. 48 and 48
C. 42 and 54
D. 41 and 43

Plz help i need to finish this todayyyy

Answer 1

D. 41 and 43

Explanation:

To find it, 54 times 6 plus the two numbers then divided by 8 has to equal 51. let a and b be the two numbers

[(54*6) + a + b]8 = 51

(324 + a + b)/8 = 51

324/8 + (a + b)/8 = 51

40.5 + (a + b)/8 = 51

(a + b)/8 = 10.5

a + b = 84

The mean if a and b are 42, what two numbers here have a mean of 42? 41 and 43, 41 + 43 = 84, 84/2 = 42

Answer 2

B

Explanation:

I think