The average number of questions Glen and Shiyun solved was 202. The average number of questions Shiyun and Betty solved was 196. The average number of questions Betty and Glen solved was 178. How many questions did each of them solve?
- Shiyun
- Glen
- Betty
(a)
Number of questions that Glen and Shiyun solved
= 202 x 2
= 404
Number of questions that Shiyun and Betty solved
= 196 x 2
= 392
Number of questions that Betty and Glen solved
= 178 x 2
= 356
Number of questions that Shiyun solved
= (404 + 392 - 356) ÷ 2
= 440 ÷ 2
= 220
(b)
Number of questions that Glen solved
= 404 - 220
= 184
(c)
Number of questions that Betty solved
= 392 - 220
= 172
Answer(s): (a) 220; (b) 184; (c) 172