Mark, John and Chan collected beads in the ratio of 9 : 5 : 10. After Chan gave
710 to Mark and John, Chan had 230 less beads than Mark. The number of beads that John had increased by 30%. How many beads did Mark and Chan have in the end?
| |
Mark |
John |
Chan |
| Before |
9 u |
5 u |
10 u |
| Change |
+ 5.5 u |
+ 1.5 u |
- 7 u |
| After |
14.5 u |
6.5 u |
3 u |
Number of beads that Chan gave to Mark and John
=
710 x 10 u
= 7 u
Number of beads that John received from Chan
=
30100 x 5 u
= 1.5 u
Number of beads that Mark received from Chan
= 7 u - 1.5 u
= 5.5 u
Number of less beads that Chan had less than Mark
= 14.5 u - 3 u
= 11.5 u
11.5 u = 230
1 u = 230 ÷ 11.5 = 20
Number of beads that Mark and Chan had
= 14.5 u + 3 u
= 17.5 u
= 17.5 x 20
= 350
Answer(s): 350
