The average number of questions Perry and Cindy solved was 209. The average number of questions Cindy and Pamela solved was 198. The average number of questions Pamela and Perry solved was 181. How many questions did each of them solve?
- Cindy
- Perry
- Pamela
(a)
Number of questions that Perry and Cindy solved
= 209 x 2
= 418
Number of questions that Cindy and Pamela solved
= 198 x 2
= 396
Number of questions that Pamela and Perry solved
= 181 x 2
= 362
Number of questions that Cindy solved
= (418 + 396 - 362) ÷ 2
= 452 ÷ 2
= 226
(b)
Number of questions that Perry solved
= 418 - 226
= 192
(c)
Number of questions that Pamela solved
= 396 - 226
= 170
Answer(s): (a) 226; (b) 192; (c) 170