Ian, Fabian and Rael had the same number of beads. Rael gave 0.6 of his beads to Fabian. Then Fabian gave 0.15 of his beads to Ian. Finally, after Fabian gave 36 beads to Rael, he had the same number of beads as Rael. How many beads did Rael have at first?
| |
Ian |
Fabian |
Rael |
| 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 |
|
- 36 |
+ 36 |
| After 3 |
1.24 u |
1.36 u - 36 |
0.4 u + 36 |
Number of beads that Fabian gave to Ian
= 0.15 x 1.6 u
= 0.24 u
The number of beads that Fabian and Rael had in the end is the same.
1.36 u - 36 = 0.4 u + 36
1.36 u - 0.4 u = 36 + 36
0.96 u = 72
1 u = 72 ÷ 0.96 = 75
Number of beads that Rael had at first
= 1 u
= 75
Answer(s): 75
