The average number of questions Fabian and Lucy solved was 217. The average number of questions Lucy and Elyse solved was 197. The average number of questions Elyse and Fabian solved was 185. How many questions did each of them solve?
- Lucy
- Fabian
- Elyse
(a)
Number of questions that Fabian and Lucy solved
= 217 x 2
= 434
Number of questions that Lucy and Elyse solved
= 197 x 2
= 394
Number of questions that Elyse and Fabian solved
= 185 x 2
= 370
Number of questions that Lucy solved
= (434 + 394 - 370) ÷ 2
= 458 ÷ 2
= 229
(b)
Number of questions that Fabian solved
= 434 - 229
= 205
(c)
Number of questions that Elyse solved
= 394 - 229
= 165
Answer(s): (a) 229; (b) 205; (c) 165
