Archie, Peter and Chan collected beads in the ratio of 9 : 8 : 9. After Chan gave
45 to Archie and Peter, Chan had 360 less beads than Archie. The number of beads that Peter had increased by 30%. How many beads did Archie and Chan have in the end?
| |
Archie |
Peter |
Chan |
| Before |
9 u |
8 u |
9 u |
| Change |
+ 4.8 u |
+ 2.4 u |
- 7.2 u |
| After |
13.8 u |
10.4 u |
1.8 u |
Number of beads that Chan gave to Archie and Peter
=
45 x 9 u
= 7.2 u
Number of beads that Peter received from Chan
=
30100 x 8 u
= 2.4 u
Number of beads that Archie received from Chan
= 7.2 u - 2.4 u
= 4.8 u
Number of less beads that Chan had less than Archie
= 13.8 u - 1.8 u
= 12 u
12 u = 360
1 u = 360 ÷ 12 = 30
Number of beads that Archie and Chan had
= 13.8 u + 1.8 u
= 15.6 u
= 15.6 x 30
= 468
Answer(s): 468
