The ratio of the number of red cards to green cards is 7 : 5. After Valen gives away 10 red cards and buys another 70 green cards, there is equal number of red cards and green cards. How many cards does Valen have now?
|
Red |
Green |
Before |
7 u |
5 u |
Change |
- 10 |
+ 70 |
After |
7 u - 10 |
5 u + 70 |
The number of red cards and green cards in the end is the same.
7 u - 10 = 5 u + 70
7 u - 5 u = 70 + 10
2 u = 80
1 u = 80 ÷ 2 = 40
Number of cards that Valen has now
= 7 u - 10 + 5 u + 70
= 7 u + 5 u - 10 + 70
= 12 u + 60
= 12 x 40 + 60
= 480 + 60
= 540
Answer(s): 540