Question

The average score Josie had in 6 subjects is 72 and her average score after 2 additional subjects were added is 74.25. If she scored 80 in the 7th subject, what was her score in the 8th subject correct to the nearest whole number?

Answer 1

Answer:

82

Step-by-step explanation:

Average score = 72

⇒ sum of scores in 6 sub. / 6 = 72

⇒ sum of score in 6 sub. = 72 * 6

⇒ sum of score in 6 sub. = 432

  Score in 7th subject is 80, let the score in 8th subject be a.

New average = 74.25

⇒ ( sum of 8 subjects ) / 8 = 74.25

⇒ ( sum of 6 sub. + 7th + 8th ) = 8 * 74.25

⇒ ( 432 + 80 + a ) = 594

⇒ a = 594 - 432 - 80

⇒ a = 82

  Score in 8th subject was 82.