The average number of questions John and Kimberly solved was 204. The average number of questions Kimberly and Cathy solved was 192. The average number of questions Cathy and John solved was 183. How many questions did each of them solve?
- Kimberly
- John
- Cathy
(a)
Number of questions that John and Kimberly solved
= 204 x 2
= 408
Number of questions that Kimberly and Cathy solved
= 192 x 2
= 384
Number of questions that Cathy and John solved
= 183 x 2
= 366
Number of questions that Kimberly solved
= (408 + 384 - 366) ÷ 2
= 426 ÷ 2
= 213
(b)
Number of questions that John solved
= 408 - 213
= 195
(c)
Number of questions that Cathy solved
= 384 - 213
= 171
Answer(s): (a) 213; (b) 195; (c) 171
