The ratio of the number of green cards to red cards is 7 : 5. After Asher gives away 40 green cards and buys another 80 red cards, there is equal number of green cards and red cards. How many cards does Asher have now?
| |
Green |
Red |
| Before |
7 u |
5 u |
| Change |
- 40 |
+ 80 |
| After |
7 u - 40 |
5 u + 80 |
The number of green cards and red cards in the end is the same.
7 u - 40 = 5 u + 80
7 u - 5 u = 80 + 40
2 u = 120
1 u = 120 ÷ 2 = 60
Number of cards that Asher has now
= 7 u - 40 + 5 u + 80
= 7 u + 5 u - 40 + 80
= 12 u + 40
= 12 x 60 + 40
= 720 + 40
= 760
Answer(s): 760
