The average number of questions Caden and Marion solved was 204. The average number of questions Marion and Esther solved was 190. The average number of questions Esther and Caden solved was 181. How many questions did each of them solve?
- Marion
- Caden
- Esther
(a)
Number of questions that Caden and Marion solved
= 204 x 2
= 408
Number of questions that Marion and Esther solved
= 190 x 2
= 380
Number of questions that Esther and Caden solved
= 181 x 2
= 362
Number of questions that Marion solved
= (408 + 380 - 362) ÷ 2
= 426 ÷ 2
= 213
(b)
Number of questions that Caden solved
= 408 - 213
= 195
(c)
Number of questions that Esther solved
= 380 - 213
= 167
Answer(s): (a) 213; (b) 195; (c) 167
