Flynn, Oscar and Caden had the same number of balls. Caden gave 0.6 of his balls to Oscar. Then Oscar gave 0.35 of his balls to Flynn. Finally, after Oscar gave 32 balls to Caden, he had the same number of balls as Caden. How many balls did Caden have at first?
| |
Flynn |
Oscar |
Caden |
| 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 |
+ 0.56 u |
- 0.56 u |
|
| After 2 |
1.56 u |
1.04 u |
0.4 u |
| Change 3 |
|
- 32 |
+ 32 |
| After 3 |
1.56 u |
1.04 u - 32 |
0.4 u + 32 |
Number of balls that Oscar gave to Flynn
= 0.35 x 1.6 u
= 0.56 u
The number of balls that Oscar and Caden had in the end is the same.
1.04 u - 32 = 0.4 u + 32
1.04 u - 0.4 u = 32 + 32
0.64 u = 64
1 u = 64 ÷ 0.64 = 100
Number of balls that Caden had at first
= 1 u
= 100
Answer(s): 100
