The average number of questions Tom and Rachel solved was 220. The average number of questions Rachel and Eva solved was 191. The average number of questions Eva and Tom solved was 180. How many questions did each of them solve?
- Rachel
- Tom
- Eva
(a)
Number of questions that Tom and Rachel solved
= 220 x 2
= 440
Number of questions that Rachel and Eva solved
= 191 x 2
= 382
Number of questions that Eva and Tom solved
= 180 x 2
= 360
Number of questions that Rachel solved
= (440 + 382 - 360) ÷ 2
= 462 ÷ 2
= 231
(b)
Number of questions that Tom solved
= 440 - 231
= 209
(c)
Number of questions that Eva solved
= 382 - 231
= 151
Answer(s): (a) 231; (b) 209; (c) 151
