The average number of questions Cody and Fiona solved was 201. The average number of questions Fiona and Erika solved was 195. The average number of questions Erika and Cody solved was 180. How many questions did each of them solve?
- Fiona
- Cody
- Erika
(a)
Number of questions that Cody and Fiona solved
= 201 x 2
= 402
Number of questions that Fiona and Erika solved
= 195 x 2
= 390
Number of questions that Erika and Cody solved
= 180 x 2
= 360
Number of questions that Fiona solved
= (402 + 390 - 360) ÷ 2
= 432 ÷ 2
= 216
(b)
Number of questions that Cody solved
= 402 - 216
= 186
(c)
Number of questions that Erika solved
= 390 - 216
= 174
Answer(s): (a) 216; (b) 186; (c) 174