The average number of questions Asher and Mary solved was 211. The average number of questions Mary and Irene solved was 198. The average number of questions Irene and Asher solved was 183. How many questions did each of them solve?
- Mary
- Asher
- Irene
(a)
Number of questions that Asher and Mary solved
= 211 x 2
= 422
Number of questions that Mary and Irene solved
= 198 x 2
= 396
Number of questions that Irene and Asher solved
= 183 x 2
= 366
Number of questions that Mary solved
= (422 + 396 - 366) ÷ 2
= 452 ÷ 2
= 226
(b)
Number of questions that Asher solved
= 422 - 226
= 196
(c)
Number of questions that Irene solved
= 396 - 226
= 170
Answer(s): (a) 226; (b) 196; (c) 170
