Lee, Charlie and Clifford collected beads in the ratio of 7 : 10 : 6. After Clifford gave
34 to Lee and Charlie, Clifford had 450 less beads than Lee. The number of beads that Charlie had increased by 10%. How many beads did Lee and Clifford have in the end?
|
Lee |
Charlie |
Clifford |
Before |
7 u |
10 u |
6 u |
Change |
+ 3.5 u |
+ 1 u |
- 4.5 u |
After |
10.5 u |
11 u |
1.5 u |
Number of beads that Clifford gave to Lee and Charlie
=
34 x 6 u
= 4.5 u
Number of beads that Charlie received from Clifford
=
10100 x 10 u
= 1 u
Number of beads that Lee received from Clifford
= 4.5 u - 1 u
= 3.5 u
Number of less beads that Clifford had less than Lee
= 10.5 u - 1.5 u
= 9 u
9 u = 450
1 u = 450 ÷ 9 = 50
Number of beads that Lee and Clifford had
= 10.5 u + 1.5 u
= 12 u
= 12 x 50
= 600
Answer(s): 600