The average number of questions Liam and Pamela solved was 214. The average number of questions Pamela and Xuan solved was 197. The average number of questions Xuan and Liam solved was 183. How many questions did each of them solve?
- Pamela
- Liam
- Xuan
(a)
Number of questions that Liam and Pamela solved
= 214 x 2
= 428
Number of questions that Pamela and Xuan solved
= 197 x 2
= 394
Number of questions that Xuan and Liam solved
= 183 x 2
= 366
Number of questions that Pamela solved
= (428 + 394 - 366) ÷ 2
= 456 ÷ 2
= 228
(b)
Number of questions that Liam solved
= 428 - 228
= 200
(c)
Number of questions that Xuan solved
= 394 - 228
= 166
Answer(s): (a) 228; (b) 200; (c) 166
