The average number of questions Justin and Emma solved was 205. The average number of questions Emma and Raeann solved was 195. The average number of questions Raeann and Justin solved was 179. How many questions did each of them solve?
- Emma
- Justin
- Raeann
(a)
Number of questions that Justin and Emma solved
= 205 x 2
= 410
Number of questions that Emma and Raeann solved
= 195 x 2
= 390
Number of questions that Raeann and Justin solved
= 179 x 2
= 358
Number of questions that Emma solved
= (410 + 390 - 358) ÷ 2
= 442 ÷ 2
= 221
(b)
Number of questions that Justin solved
= 410 - 221
= 189
(c)
Number of questions that Raeann solved
= 390 - 221
= 169
Answer(s): (a) 221; (b) 189; (c) 169