Zeph, Cole and Colin collected beads in the ratio of 11 : 8 : 10. After Colin gave
15 to Zeph and Cole, Colin had 230 less beads than Zeph. The number of beads that Cole had increased by 5%. How many beads did Zeph and Colin have in the end?
| |
Zeph |
Cole |
Colin |
| Before |
11 u |
8 u |
10 u |
| Change |
+ 1.6 u |
+ 0.4 u |
- 2 u |
| After |
12.6 u |
8.4 u |
8 u |
Number of beads that Colin gave to Zeph and Cole
=
15 x 10 u
= 2 u
Number of beads that Cole received from Colin
=
5100 x 8 u
= 0.4 u
Number of beads that Zeph received from Colin
= 2 u - 0.4 u
= 1.6 u
Number of less beads that Colin had less than Zeph
= 12.6 u - 8 u
= 4.6 u
4.6 u = 230
1 u = 230 ÷ 4.6 = 50
Number of beads that Zeph and Colin had
= 12.6 u + 8 u
= 20.6 u
= 20.6 x 50
= 1030
Answer(s): 1030
