The average number of questions Simon and Cathy solved was 208. The average number of questions Cathy and Wendy solved was 197. The average number of questions Wendy and Simon solved was 179. How many questions did each of them solve?
- Cathy
- Simon
- Wendy
(a)
Number of questions that Simon and Cathy solved
= 208 x 2
= 416
Number of questions that Cathy and Wendy solved
= 197 x 2
= 394
Number of questions that Wendy and Simon solved
= 179 x 2
= 358
Number of questions that Cathy solved
= (416 + 394 - 358) ÷ 2
= 452 ÷ 2
= 226
(b)
Number of questions that Simon solved
= 416 - 226
= 190
(c)
Number of questions that Wendy solved
= 394 - 226
= 168
Answer(s): (a) 226; (b) 190; (c) 168