Simon, Tom and Cyrus collected beads in the ratio of 9 : 7 : 5. After Cyrus gave
35 to Simon and Tom, Cyrus had 344 less beads than Simon. The number of beads that Tom had increased by 20%. How many beads did Simon and Cyrus have in the end?
| |
Simon |
Tom |
Cyrus |
| Before |
9 u |
7 u |
5 u |
| Change |
+ 1.6 u |
+ 1.4 u |
- 3 u |
| After |
10.6 u |
8.4 u |
2 u |
Number of beads that Cyrus gave to Simon and Tom
=
35 x 5 u
= 3 u
Number of beads that Tom received from Cyrus
=
20100 x 7 u
= 1.4 u
Number of beads that Simon received from Cyrus
= 3 u - 1.4 u
= 1.6 u
Number of less beads that Cyrus had less than Simon
= 10.6 u - 2 u
= 8.6 u
8.6 u = 344
1 u = 344 ÷ 8.6 = 40
Number of beads that Simon and Cyrus had
= 10.6 u + 2 u
= 12.6 u
= 12.6 x 40
= 504
Answer(s): 504
