The average number of questions Simon and Natalie solved was 217. The average number of questions Natalie and Kimberly solved was 198. The average number of questions Kimberly and Simon solved was 182. How many questions did each of them solve?
- Natalie
- Simon
- Kimberly
(a)
Number of questions that Simon and Natalie solved
= 217 x 2
= 434
Number of questions that Natalie and Kimberly solved
= 198 x 2
= 396
Number of questions that Kimberly and Simon solved
= 182 x 2
= 364
Number of questions that Natalie solved
= (434 + 396 - 364) ÷ 2
= 466 ÷ 2
= 233
(b)
Number of questions that Simon solved
= 434 - 233
= 201
(c)
Number of questions that Kimberly solved
= 396 - 233
= 163
Answer(s): (a) 233; (b) 201; (c) 163