Cody, Daniel and Billy had the same number of beads. Billy gave 0.6 of his beads to Daniel. Then Daniel gave 0.15 of his beads to Cody. Finally, after Daniel gave 24 beads to Billy, he had the same number of beads as Billy. How many beads did Billy have at first?
| |
Cody |
Daniel |
Billy |
| 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 |
+ 0.24 u |
- 0.24 u |
|
| After 2 |
1.24 u |
1.36 u |
0.4 u |
| Change 3 |
|
- 24 |
+ 24 |
| After 3 |
1.24 u |
1.36 u - 24 |
0.4 u + 24 |
Number of beads that Daniel gave to Cody
= 0.15 x 1.6 u
= 0.24 u
The number of beads that Daniel and Billy had in the end is the same.
1.36 u - 24 = 0.4 u + 24
1.36 u - 0.4 u = 24 + 24
0.96 u = 48
1 u = 48 ÷ 0.96 = 50
Number of beads that Billy had at first
= 1 u
= 50
Answer(s): 50
