The average number of questions Valen and Irene solved was 213. The average number of questions Irene and Tiffany solved was 195. The average number of questions Tiffany and Valen solved was 180. How many questions did each of them solve?
- Irene
- Valen
- Tiffany
(a)
Number of questions that Valen and Irene solved
= 213 x 2
= 426
Number of questions that Irene and Tiffany solved
= 195 x 2
= 390
Number of questions that Tiffany and Valen solved
= 180 x 2
= 360
Number of questions that Irene solved
= (426 + 390 - 360) ÷ 2
= 456 ÷ 2
= 228
(b)
Number of questions that Valen solved
= 426 - 228
= 198
(c)
Number of questions that Tiffany solved
= 390 - 228
= 162
Answer(s): (a) 228; (b) 198; (c) 162
