Nick, Glen and Clifford collected beads in the ratio of 11 : 7 : 8. After Clifford gave
710 to Nick and Glen, Clifford had 535 less beads than Nick. The number of beads that Glen had increased by 50%. How many beads did Nick and Clifford have in the end?
|
Nick |
Glen |
Clifford |
Before |
11 u |
7 u |
8 u |
Change |
+ 2.1 u |
+ 3.5 u |
- 5.6 u |
After |
13.1 u |
10.5 u |
2.4 u |
Number of beads that Clifford gave to Nick and Glen
=
710 x 8 u
= 5.6 u
Number of beads that Glen received from Clifford
=
50100 x 7 u
= 3.5 u
Number of beads that Nick received from Clifford
= 5.6 u - 3.5 u
= 2.1 u
Number of less beads that Clifford had less than Nick
= 13.1 u - 2.4 u
= 10.7 u
10.7 u = 535
1 u = 535 ÷ 10.7 = 50
Number of beads that Nick and Clifford had
= 13.1 u + 2.4 u
= 15.5 u
= 15.5 x 50
= 775
Answer(s): 775