Shiyun had 4 times as many coins as Penelope at first. After Shiyun gave 45 coins to Penelope, they each had the same number of coins in the end. How many coins did Shiyun have at first?
|
Shiyun |
Penelope |
Before |
4 u |
1 u |
Change |
- 45 |
+ 45 |
After |
4 u - 45 |
1 u + 45 |
Comparing Shiyun and Penelope in the end |
1 |
1 |
The number of coins that Shiyun and Penelope had in the end is equal.
4 u - 45 = 1 u + 45
4 u - 1 u = 45 + 45
3 u = 90
1 u = 30
Number of coins that Shiyun had at first
= 4 u
= 4 x 30
= 120
Answer(s): 120