Elijah, Dylan and Vaidev had the same number of balls. Vaidev gave 0.5 of his balls to Dylan. Then Dylan gave 0.25 of his balls to Elijah. Finally, after Dylan gave 30 balls to Vaidev, he had the same number of balls as Vaidev. How many balls did Vaidev have at first?
| |
Elijah |
Dylan |
Vaidev |
| Before |
1 u |
1 u |
1 u |
| Change 1 |
|
+ 0.5 u |
- 0.5 u |
| After 1 |
1 u |
1.5 u |
0.5 u |
| Change 2 |
+ 0.375 u |
- 0.375 u |
|
| After 2 |
1.375 u |
1.125 u |
0.5 u |
| Change 3 |
|
- 30 |
+ 30 |
| After 3 |
1.375 u |
1.125 u - 30 |
0.5 u + 30 |
Number of balls that Dylan gave to Elijah
= 0.25 x 1.5 u
= 0.375 u
The number of balls that Dylan and Vaidev had in the end is the same.
1.125 u - 30 = 0.5 u + 30
1.125 u - 0.5 u = 30 + 30
0.625 u = 60
1 u = 60 ÷ 0.625 = 96
Number of balls that Vaidev had at first
= 1 u
= 96
Answer(s): 96
