The average number of questions Bobby and Barbara solved was 206. The average number of questions Barbara and Hazel solved was 194. The average number of questions Hazel and Bobby solved was 184. How many questions did each of them solve?
- Barbara
- Bobby
- Hazel
(a)
Number of questions that Bobby and Barbara solved
= 206 x 2
= 412
Number of questions that Barbara and Hazel solved
= 194 x 2
= 388
Number of questions that Hazel and Bobby solved
= 184 x 2
= 368
Number of questions that Barbara solved
= (412 + 388 - 368) ÷ 2
= 432 ÷ 2
= 216
(b)
Number of questions that Bobby solved
= 412 - 216
= 196
(c)
Number of questions that Hazel solved
= 388 - 216
= 172
Answer(s): (a) 216; (b) 196; (c) 172
