The average number of questions Cody and Jen solved was 205. The average number of questions Jen and Raeann solved was 198. The average number of questions Raeann and Cody solved was 184. How many questions did each of them solve?
- Jen
- Cody
- Raeann
(a)
Number of questions that Cody and Jen solved
= 205 x 2
= 410
Number of questions that Jen and Raeann solved
= 198 x 2
= 396
Number of questions that Raeann and Cody solved
= 184 x 2
= 368
Number of questions that Jen solved
= (410 + 396 - 368) ÷ 2
= 438 ÷ 2
= 219
(b)
Number of questions that Cody solved
= 410 - 219
= 191
(c)
Number of questions that Raeann solved
= 396 - 219
= 177
Answer(s): (a) 219; (b) 191; (c) 177