The average number of questions Liam and Vanessa solved was 208. The average number of questions Vanessa and Gillian solved was 191. The average number of questions Gillian and Liam solved was 181. How many questions did each of them solve?
- Vanessa
- Liam
- Gillian
(a)
Number of questions that Liam and Vanessa solved
= 208 x 2
= 416
Number of questions that Vanessa and Gillian solved
= 191 x 2
= 382
Number of questions that Gillian and Liam solved
= 181 x 2
= 362
Number of questions that Vanessa solved
= (416 + 382 - 362) ÷ 2
= 436 ÷ 2
= 218
(b)
Number of questions that Liam solved
= 416 - 218
= 198
(c)
Number of questions that Gillian solved
= 382 - 218
= 164
Answer(s): (a) 218; (b) 198; (c) 164
