The average number of questions Harry and Eva solved was 219. The average number of questions Eva and Jean solved was 197. The average number of questions Jean and Harry solved was 180. How many questions did each of them solve?
- Eva
- Harry
- Jean
(a)
Number of questions that Harry and Eva solved
= 219 x 2
= 438
Number of questions that Eva and Jean solved
= 197 x 2
= 394
Number of questions that Jean and Harry solved
= 180 x 2
= 360
Number of questions that Eva solved
= (438 + 394 - 360) ÷ 2
= 472 ÷ 2
= 236
(b)
Number of questions that Harry solved
= 438 - 236
= 202
(c)
Number of questions that Jean solved
= 394 - 236
= 158
Answer(s): (a) 236; (b) 202; (c) 158
