The average number of questions Zane and Anna solved was 209. The average number of questions Anna and Shiyun solved was 193. The average number of questions Shiyun and Zane solved was 180. How many questions did each of them solve?
- Anna
- Zane
- Shiyun
(a)
Number of questions that Zane and Anna solved
= 209 x 2
= 418
Number of questions that Anna and Shiyun solved
= 193 x 2
= 386
Number of questions that Shiyun and Zane solved
= 180 x 2
= 360
Number of questions that Anna solved
= (418 + 386 - 360) ÷ 2
= 444 ÷ 2
= 222
(b)
Number of questions that Zane solved
= 418 - 222
= 196
(c)
Number of questions that Shiyun solved
= 386 - 222
= 164
Answer(s): (a) 222; (b) 196; (c) 164
