Simon, Rael and Bryan had the same number of beads. Bryan gave 0.6 of his beads to Rael. Then Rael gave 0.15 of his beads to Simon. Finally, after Rael gave 24 beads to Bryan, he had the same number of beads as Bryan. How many beads did Bryan have at first?
| |
Simon |
Rael |
Bryan |
| 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 Rael gave to Simon
= 0.15 x 1.6 u
= 0.24 u
The number of beads that Rael and Bryan 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 Bryan had at first
= 1 u
= 50
Answer(s): 50
