The average number of questions Dylan and Zoe solved was 206. The average number of questions Zoe and Gillian solved was 195. The average number of questions Gillian and Dylan solved was 180. How many questions did each of them solve?
- Zoe
- Dylan
- Gillian
(a)
Number of questions that Dylan and Zoe solved
= 206 x 2
= 412
Number of questions that Zoe and Gillian solved
= 195 x 2
= 390
Number of questions that Gillian and Dylan solved
= 180 x 2
= 360
Number of questions that Zoe solved
= (412 + 390 - 360) ÷ 2
= 442 ÷ 2
= 221
(b)
Number of questions that Dylan solved
= 412 - 221
= 191
(c)
Number of questions that Gillian solved
= 390 - 221
= 169
Answer(s): (a) 221; (b) 191; (c) 169
