The average number of questions Perry and Anna solved was 219. The average number of questions Anna and Dana solved was 194. The average number of questions Dana and Perry solved was 180. How many questions did each of them solve?
- Anna
- Perry
- Dana
(a)
Number of questions that Perry and Anna solved
= 219 x 2
= 438
Number of questions that Anna and Dana solved
= 194 x 2
= 388
Number of questions that Dana and Perry solved
= 180 x 2
= 360
Number of questions that Anna solved
= (438 + 388 - 360) ÷ 2
= 466 ÷ 2
= 233
(b)
Number of questions that Perry solved
= 438 - 233
= 205
(c)
Number of questions that Dana solved
= 388 - 233
= 155
Answer(s): (a) 233; (b) 205; (c) 155
