The ratio of Ethan's coins to Alexander's coins at first was 3 : 7. After Ethan gave Alexander 18 coins, the ratio of Ethan's coins to Alexander's coins is 1 : 3. What was the number of coins they had altogether?
|
Ethan |
Alexander |
Total |
Before |
3x4 = 12 u |
7x4 = 28 u
|
10x4 = 40 u |
Change |
- 18 |
+ 18 |
|
After |
1x10 = 10 u |
3x10 = 30 u |
4x10 = 40 u |
Number of coins that Ethan gave Alexander
= 12 u - 10 u
= 2 u
2 u = 18
1 u = 18 ÷ 2 = 9
Total number of coins that they had
= 40 u
= 40 x 9
= 360
Answer(s): 360