Riordan, Carl and Tim had the same number of beads. Tim gave 0.6 of his beads to Carl. Then Carl gave 0.25 of his beads to Riordan. Finally, after Carl gave 34 beads to Tim, he had the same number of beads as Tim. How many beads did Tim have at first?
| |
Riordan |
Carl |
Tim |
| 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 |
|
- 34 |
+ 34 |
| After 3 |
1.4 u |
1.2 u - 34 |
0.4 u + 34 |
Number of beads that Carl gave to Riordan
= 0.25 x 1.6 u
= 0.4 u
The number of beads that Carl and Tim had in the end is the same.
1.2 u - 34 = 0.4 u + 34
1.2 u - 0.4 u = 34 + 34
0.8 u = 68
1 u = 68 ÷ 0.8 = 85
Number of beads that Tim had at first
= 1 u
= 85
Answer(s): 85
