The average number of questions Oscar and Yen solved was 217. The average number of questions Yen and Gillian solved was 194. The average number of questions Gillian and Oscar solved was 180. How many questions did each of them solve?
- Yen
- Oscar
- Gillian
(a)
Number of questions that Oscar and Yen solved
= 217 x 2
= 434
Number of questions that Yen and Gillian solved
= 194 x 2
= 388
Number of questions that Gillian and Oscar solved
= 180 x 2
= 360
Number of questions that Yen solved
= (434 + 388 - 360) ÷ 2
= 462 ÷ 2
= 231
(b)
Number of questions that Oscar solved
= 434 - 231
= 203
(c)
Number of questions that Gillian solved
= 388 - 231
= 157
Answer(s): (a) 231; (b) 203; (c) 157
