Valen, Albert and Clifford collected beads in the ratio of 10 : 4 : 7. After Clifford gave
710 to Valen and Albert, Clifford had 120 less beads than Valen. The number of beads that Albert had increased by 20%. How many beads did Valen and Clifford have in the end?
|
Valen |
Albert |
Clifford |
Before |
10 u |
4 u |
7 u |
Change |
+ 4.1 u |
+ 0.8 u |
- 4.9 u |
After |
14.1 u |
4.8 u |
2.1 u |
Number of beads that Clifford gave to Valen and Albert
=
710 x 7 u
= 4.9 u
Number of beads that Albert received from Clifford
=
20100 x 4 u
= 0.8 u
Number of beads that Valen received from Clifford
= 4.9 u - 0.8 u
= 4.1 u
Number of less beads that Clifford had less than Valen
= 14.1 u - 2.1 u
= 12 u
12 u = 120
1 u = 120 ÷ 12 = 10
Number of beads that Valen and Clifford had
= 14.1 u + 2.1 u
= 16.2 u
= 16.2 x 10
= 162
Answer(s): 162