The average number of questions Jack and Eva solved was 202. The average number of questions Eva and Shiyun solved was 195. The average number of questions Shiyun and Jack solved was 184. How many questions did each of them solve?
- Eva
- Jack
- Shiyun
(a)
Number of questions that Jack and Eva solved
= 202 x 2
= 404
Number of questions that Eva and Shiyun solved
= 195 x 2
= 390
Number of questions that Shiyun and Jack solved
= 184 x 2
= 368
Number of questions that Eva solved
= (404 + 390 - 368) ÷ 2
= 426 ÷ 2
= 213
(b)
Number of questions that Jack solved
= 404 - 213
= 191
(c)
Number of questions that Shiyun solved
= 390 - 213
= 177
Answer(s): (a) 213; (b) 191; (c) 177
