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