The average number of questions Tom and Shannon solved was 209. The average number of questions Shannon and Roshel solved was 198. The average number of questions Roshel and Tom solved was 181. How many questions did each of them solve?
- Shannon
- Tom
- Roshel
(a)
Number of questions that Tom and Shannon solved
= 209 x 2
= 418
Number of questions that Shannon and Roshel solved
= 198 x 2
= 396
Number of questions that Roshel and Tom solved
= 181 x 2
= 362
Number of questions that Shannon solved
= (418 + 396 - 362) ÷ 2
= 452 ÷ 2
= 226
(b)
Number of questions that Tom solved
= 418 - 226
= 192
(c)
Number of questions that Roshel solved
= 396 - 226
= 170
Answer(s): (a) 226; (b) 192; (c) 170
