The average number of questions Sean and Julie solved was 209. The average number of questions Julie and Gem solved was 195. The average number of questions Gem and Sean solved was 183. How many questions did each of them solve?
- Julie
- Sean
- Gem
(a)
Number of questions that Sean and Julie solved
= 209 x 2
= 418
Number of questions that Julie and Gem solved
= 195 x 2
= 390
Number of questions that Gem and Sean solved
= 183 x 2
= 366
Number of questions that Julie solved
= (418 + 390 - 366) ÷ 2
= 442 ÷ 2
= 221
(b)
Number of questions that Sean solved
= 418 - 221
= 197
(c)
Number of questions that Gem solved
= 390 - 221
= 169
Answer(s): (a) 221; (b) 197; (c) 169
