Ethan, Bobby and Cyrus collected stickers in the ratio of 9 : 4 : 8. After Cyrus gave
310 to Ethan and Bobby, Cyrus had 230 less stickers than Ethan. The number of stickers that Bobby had increased by 30%. How many stickers did Ethan and Cyrus have in the end?
|
Ethan |
Bobby |
Cyrus |
Before |
9 u |
4 u |
8 u |
Change |
+ 1.2 u |
+ 1.2 u |
- 2.4 u |
After |
10.2 u |
5.2 u |
5.6 u |
Number of stickers that Cyrus gave to Ethan and Bobby
=
310 x 8 u
= 2.4 u
Number of stickers that Bobby received from Cyrus
=
30100 x 4 u
= 1.2 u
Number of stickers that Ethan received from Cyrus
= 2.4 u - 1.2 u
= 1.2 u
Number of less stickers that Cyrus had less than Ethan
= 10.2 u - 5.6 u
= 4.6 u
4.6 u = 230
1 u = 230 ÷ 4.6 = 50
Number of stickers that Ethan and Cyrus had
= 10.2 u + 5.6 u
= 15.8 u
= 15.8 x 50
= 790
Answer(s): 790