The average number of questions Charlie and Hazel solved was 200. The average number of questions Hazel and Yoko solved was 191. The average number of questions Yoko and Charlie solved was 182. How many questions did each of them solve?
- Hazel
- Charlie
- Yoko
(a)
Number of questions that Charlie and Hazel solved
= 200 x 2
= 400
Number of questions that Hazel and Yoko solved
= 191 x 2
= 382
Number of questions that Yoko and Charlie solved
= 182 x 2
= 364
Number of questions that Hazel solved
= (400 + 382 - 364) ÷ 2
= 418 ÷ 2
= 209
(b)
Number of questions that Charlie solved
= 400 - 209
= 191
(c)
Number of questions that Yoko solved
= 382 - 209
= 173
Answer(s): (a) 209; (b) 191; (c) 173
