Glen had 20% more beads than Tommy. Glen gave 30% of his beads to Tommy. Tommy in return gave 50% of his beads to Glen. In the end, Tommy had 1008 less beads than Glen. How many beads did Glen have at first?
| |
Glen |
Tommy |
| Before |
120% |
100% |
| Change 1 |
- 36% |
+ 36% |
| After 1 |
84% |
136% |
| Change 2 |
+ 68% |
- 68% |
| After 2 |
152% |
68% |
Number of beads that Glen had at first in percent
= 100% + 20%
= 120%
Number of beads that Glen gave to Tommy in percent
= 30% x 120%
=
30100 x 120%
= 36%
Number of beads that Tommy gave to Glen in percent
= 50% x 136%
=
50100 x 136%
= 68%
Number of less beads that Tommy had than Glen in the end
= 152% - 68%
= 84%
84% → 1008
1% → 1008 ÷ 84 = 12
Number of beads that Glen had at first
= 120%
= 120 x 12
= 1440
Answer(s): 1440
