The average number of questions Ethan and Xandra solved was 200. The average number of questions Xandra and Elyse solved was 196. The average number of questions Elyse and Ethan solved was 183. How many questions did each of them solve?
- Xandra
- Ethan
- Elyse
(a)
Number of questions that Ethan and Xandra solved
= 200 x 2
= 400
Number of questions that Xandra and Elyse solved
= 196 x 2
= 392
Number of questions that Elyse and Ethan solved
= 183 x 2
= 366
Number of questions that Xandra solved
= (400 + 392 - 366) ÷ 2
= 426 ÷ 2
= 213
(b)
Number of questions that Ethan solved
= 400 - 213
= 187
(c)
Number of questions that Elyse solved
= 392 - 213
= 179
Answer(s): (a) 213; (b) 187; (c) 179
