Question

Eight persons participated  in  a  shooting  competition. the  top  score  in  the  competition is  85 points. had  the  top  score  been  92  points  instead  of  85  points,  the  average  score  would have  been  84.  find the  number of  points  actually scored  in  the  competition.

Answer 1

665

(92+7x)/8 = 84

92+7x = 672

7x = 672 -92 = 580

Therefore, the total points scored are 580+85 = 665

Answer 2

Answer:

Number of  points  actually scored  in  the  competition = 665

Step-by-step explanation:

Number of persons participated in the competition = 8

Now, Top score = 85 points

New top score is given to be = 92 points

Now, Change in the top score = 92 - 85

                                                   = 7

Let the number of points actually scored in the competition be x

Also, New average score = 84

⇒ Average = (x + Change in top score )/8

⇒ 84 = (x + 7)/8

⇒ x + 7 = 84 × 8

⇒ x + 7 = 672

⇒ x = 672 - 7

⇒ x = 665

Therefore, Number of  points  actually scored  in  the  competition = 665