The average number of questions Gabriel and Victoria solved was 217. The average number of questions Victoria and Nora solved was 194. The average number of questions Nora and Gabriel solved was 181. How many questions did each of them solve?
- Victoria
- Gabriel
- Nora
(a)
Number of questions that Gabriel and Victoria solved
= 217 x 2
= 434
Number of questions that Victoria and Nora solved
= 194 x 2
= 388
Number of questions that Nora and Gabriel solved
= 181 x 2
= 362
Number of questions that Victoria solved
= (434 + 388 - 362) ÷ 2
= 460 ÷ 2
= 230
(b)
Number of questions that Gabriel solved
= 434 - 230
= 204
(c)
Number of questions that Nora solved
= 388 - 230
= 158
Answer(s): (a) 230; (b) 204; (c) 158
