Ian, Neave and Glen had a total of 115 cards. The ratio of the number of cards that Neave had to the number of cards that Glen had was 4 : 5. After Ian and Neave each gave away half of their cards, the 3 children had 85 cards left. How many cards did Neave and Glen have in the end?
| |
Ian |
Neave |
Glen |
Total |
| Before |
2 p |
4 u |
5 u |
115 |
| Change |
- 1 p |
- 2 u |
|
- 30 |
| After |
1 p |
2 u |
5 u |
85 |
Total number of cards that Ian and Neave gave away
= 115 - 85
= 30
1 p + 2 u = 30 --- (1)
1 p + 2 u + 5 u = 85
1 p + 7 u = 85 --- (2)
(2) - (1)
(1 p + 7 u) - (1 p + 2 u) = 85 - 30
7 u - 2 u = 55
5 u = 55
1 u = 55 ÷ 5 = 11
Total number of cards that Neave and Glen had in the end
= 2 u + 5 u
= 7 u
= 7 x 11
= 77
Answer(s): 77
