The average number of questions Jack and Winnie solved was 211. The average number of questions Winnie and Yoko solved was 190. The average number of questions Yoko and Jack solved was 185. How many questions did each of them solve?
- Winnie
- Jack
- Yoko
(a)
Number of questions that Jack and Winnie solved
= 211 x 2
= 422
Number of questions that Winnie and Yoko solved
= 190 x 2
= 380
Number of questions that Yoko and Jack solved
= 185 x 2
= 370
Number of questions that Winnie solved
= (422 + 380 - 370) ÷ 2
= 432 ÷ 2
= 216
(b)
Number of questions that Jack solved
= 422 - 216
= 206
(c)
Number of questions that Yoko solved
= 380 - 216
= 164
Answer(s): (a) 216; (b) 206; (c) 164
