The average number of questions Jenson and Cindy solved was 204. The average number of questions Cindy and Elyse solved was 190. The average number of questions Elyse and Jenson solved was 180. How many questions did each of them solve?
- Cindy
- Jenson
- Elyse
(a)
Number of questions that Jenson and Cindy solved
= 204 x 2
= 408
Number of questions that Cindy and Elyse solved
= 190 x 2
= 380
Number of questions that Elyse and Jenson solved
= 180 x 2
= 360
Number of questions that Cindy solved
= (408 + 380 - 360) ÷ 2
= 428 ÷ 2
= 214
(b)
Number of questions that Jenson solved
= 408 - 214
= 194
(c)
Number of questions that Elyse solved
= 380 - 214
= 166
Answer(s): (a) 214; (b) 194; (c) 166