Julian, Albert and Clifford collected beads in the ratio of 7 : 4 : 10. After Clifford gave
710 to Julian and Albert, Clifford had 470 less beads than Julian. The number of beads that Albert had increased by 40%. How many beads did Julian and Clifford have in the end?
|
Julian |
Albert |
Clifford |
Before |
7 u |
4 u |
10 u |
Change |
+ 5.4 u |
+ 1.6 u |
- 7 u |
After |
12.4 u |
5.6 u |
3 u |
Number of beads that Clifford gave to Julian and Albert
=
710 x 10 u
= 7 u
Number of beads that Albert received from Clifford
=
40100 x 4 u
= 1.6 u
Number of beads that Julian received from Clifford
= 7 u - 1.6 u
= 5.4 u
Number of less beads that Clifford had less than Julian
= 12.4 u - 3 u
= 9.4 u
9.4 u = 470
1 u = 470 ÷ 9.4 = 50
Number of beads that Julian and Clifford had
= 12.4 u + 3 u
= 15.4 u
= 15.4 x 50
= 770
Answer(s): 770