Jenson, Japheth and Glen had the same number of beads. Glen gave 0.6 of his beads to Japheth. Then Japheth gave 0.25 of his beads to Jenson. Finally, after Japheth gave 32 beads to Glen, he had the same number of beads as Glen. How many beads did Glen have at first?
| |
Jenson |
Japheth |
Glen |
| 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 |
|
- 32 |
+ 32 |
| After 3 |
1.4 u |
1.2 u - 32 |
0.4 u + 32 |
Number of beads that Japheth gave to Jenson
= 0.25 x 1.6 u
= 0.4 u
The number of beads that Japheth and Glen had in the end is the same.
1.2 u - 32 = 0.4 u + 32
1.2 u - 0.4 u = 32 + 32
0.8 u = 64
1 u = 64 ÷ 0.8 = 80
Number of beads that Glen had at first
= 1 u
= 80
Answer(s): 80
