Brandon, Owen and Peter had the same number of balls. Peter gave 0.6 of his balls to Owen. Then Owen gave 0.25 of his balls to Brandon. Finally, after Owen gave 32 balls to Peter, he had the same number of balls as Peter. How many balls did Peter have at first?
| |
Brandon |
Owen |
Peter |
| Before |
1 u |
1 u |
1 u |
| Change 1 |
|
+ 0.6 u |
- 0.6 u |
| After 1 |
1 u |
1.6 u |
0.4 u |
| Change 2 |
+ 0.4 u |
- 0.4 u |
|
| After 2 |
1.4 u |
1.2 u |
0.4 u |
| Change 3 |
|
- 32 |
+ 32 |
| After 3 |
1.4 u |
1.2 u - 32 |
0.4 u + 32 |
Number of balls that Owen gave to Brandon
= 0.25 x 1.6 u
= 0.4 u
The number of balls that Owen and Peter had in the end is the same.
1.2 u - 32 = 0.4 u + 32
1.2 u - 0.4 u = 32 + 32
0.8 u = 64
1 u = 64 ÷ 0.8 = 80
Number of balls that Peter had at first
= 1 u
= 80
Answer(s): 80
