The average number of questions Bryan and Zara solved was 207. The average number of questions Zara and Gillian solved was 198. The average number of questions Gillian and Bryan solved was 185. How many questions did each of them solve?
- Zara
- Bryan
- Gillian
(a)
Number of questions that Bryan and Zara solved
= 207 x 2
= 414
Number of questions that Zara and Gillian solved
= 198 x 2
= 396
Number of questions that Gillian and Bryan solved
= 185 x 2
= 370
Number of questions that Zara solved
= (414 + 396 - 370) ÷ 2
= 440 ÷ 2
= 220
(b)
Number of questions that Bryan solved
= 414 - 220
= 194
(c)
Number of questions that Gillian solved
= 396 - 220
= 176
Answer(s): (a) 220; (b) 194; (c) 176