The average number of questions Riordan and Zara solved was 204. The average number of questions Zara and Ivory solved was 190. The average number of questions Ivory and Riordan solved was 184. How many questions did each of them solve?
- Zara
- Riordan
- Ivory
(a)
Number of questions that Riordan and Zara solved
= 204 x 2
= 408
Number of questions that Zara and Ivory solved
= 190 x 2
= 380
Number of questions that Ivory and Riordan solved
= 184 x 2
= 368
Number of questions that Zara solved
= (408 + 380 - 368) ÷ 2
= 420 ÷ 2
= 210
(b)
Number of questions that Riordan solved
= 408 - 210
= 198
(c)
Number of questions that Ivory solved
= 380 - 210
= 170
Answer(s): (a) 210; (b) 198; (c) 170