Harry, Will and Japheth had a total of 48 cards. The ratio of the number of cards that Will had to the number of cards that Japheth had was 4 : 5. After Harry and Will each gave away half of their cards, the 3 children had 34 cards left. How many cards did Will and Japheth have in the end?
| |
Harry |
Will |
Japheth |
Total |
| Before |
2 p |
4 u |
5 u |
48 |
| Change |
- 1 p |
- 2 u |
|
- 14 |
| After |
1 p |
2 u |
5 u |
34 |
Total number of cards that Harry and Will gave away
= 48 - 34
= 14
1 p + 2 u = 14 --- (1)
1 p + 2 u + 5 u = 34
1 p + 7 u = 34 --- (2)
(2) - (1)
(1 p + 7 u) - (1 p + 2 u) = 34 - 14
7 u - 2 u = 20
5 u = 20
1 u = 20 ÷ 5 = 4
Total number of cards that Will and Japheth had in the end
= 2 u + 5 u
= 7 u
= 7 x 4
= 28
Answer(s): 28
