The average number of questions Tom and Xuan solved was 219. The average number of questions Xuan and Elyse solved was 198. The average number of questions Elyse and Tom solved was 185. How many questions did each of them solve?
- Xuan
- Tom
- Elyse
(a)
Number of questions that Tom and Xuan solved
= 219 x 2
= 438
Number of questions that Xuan and Elyse solved
= 198 x 2
= 396
Number of questions that Elyse and Tom solved
= 185 x 2
= 370
Number of questions that Xuan solved
= (438 + 396 - 370) ÷ 2
= 464 ÷ 2
= 232
(b)
Number of questions that Tom solved
= 438 - 232
= 206
(c)
Number of questions that Elyse solved
= 396 - 232
= 164
Answer(s): (a) 232; (b) 206; (c) 164
