The average number of questions Howard and Tiffany solved was 205. The average number of questions Tiffany and Tina solved was 194. The average number of questions Tina and Howard solved was 178. How many questions did each of them solve?
- Tiffany
- Howard
- Tina
(a)
Number of questions that Howard and Tiffany solved
= 205 x 2
= 410
Number of questions that Tiffany and Tina solved
= 194 x 2
= 388
Number of questions that Tina and Howard solved
= 178 x 2
= 356
Number of questions that Tiffany solved
= (410 + 388 - 356) ÷ 2
= 442 ÷ 2
= 221
(b)
Number of questions that Howard solved
= 410 - 221
= 189
(c)
Number of questions that Tina solved
= 388 - 221
= 167
Answer(s): (a) 221; (b) 189; (c) 167
