Ryan, Wesley and Nick had the same number of beads. Nick gave 0.6 of his beads to Wesley. Then Wesley gave 0.25 of his beads to Ryan. Finally, after Wesley gave 40 beads to Nick, he had the same number of beads as Nick. How many beads did Nick have at first?
| |
Ryan |
Wesley |
Nick |
| 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 |
+ 0.4 u |
- 0.4 u |
|
| After 2 |
1.4 u |
1.2 u |
0.4 u |
| Change 3 |
|
- 40 |
+ 40 |
| After 3 |
1.4 u |
1.2 u - 40 |
0.4 u + 40 |
Number of beads that Wesley gave to Ryan
= 0.25 x 1.6 u
= 0.4 u
The number of beads that Wesley and Nick had in the end is the same.
1.2 u - 40 = 0.4 u + 40
1.2 u - 0.4 u = 40 + 40
0.8 u = 80
1 u = 80 ÷ 0.8 = 100
Number of beads that Nick had at first
= 1 u
= 100
Answer(s): 100
