The average number of questions Valen and Gillian solved was 210. The average number of questions Gillian and Vanessa solved was 197. The average number of questions Vanessa and Valen solved was 179. How many questions did each of them solve?
- Gillian
- Valen
- Vanessa
(a)
Number of questions that Valen and Gillian solved
= 210 x 2
= 420
Number of questions that Gillian and Vanessa solved
= 197 x 2
= 394
Number of questions that Vanessa and Valen solved
= 179 x 2
= 358
Number of questions that Gillian solved
= (420 + 394 - 358) ÷ 2
= 456 ÷ 2
= 228
(b)
Number of questions that Valen solved
= 420 - 228
= 192
(c)
Number of questions that Vanessa solved
= 394 - 228
= 166
Answer(s): (a) 228; (b) 192; (c) 166