The average number of questions Seth and Barbara solved was 212. The average number of questions Barbara and Erika solved was 193. The average number of questions Erika and Seth solved was 178. How many questions did each of them solve?
- Barbara
- Seth
- Erika
(a)
Number of questions that Seth and Barbara solved
= 212 x 2
= 424
Number of questions that Barbara and Erika solved
= 193 x 2
= 386
Number of questions that Erika and Seth solved
= 178 x 2
= 356
Number of questions that Barbara solved
= (424 + 386 - 356) ÷ 2
= 454 ÷ 2
= 227
(b)
Number of questions that Seth solved
= 424 - 227
= 197
(c)
Number of questions that Erika solved
= 386 - 227
= 159
Answer(s): (a) 227; (b) 197; (c) 159
