Ethan, Liam and Chester collected stickers in the ratio of 10 : 4 : 9. After Chester gave
310 to Ethan and Liam, Chester had 224 less stickers than Ethan. The number of stickers that Liam had increased by 20%. How many stickers did Ethan and Chester have in the end?
|
Ethan |
Liam |
Chester |
Before |
10 u |
4 u |
9 u |
Change |
+ 1.9 u |
+ 0.8 u |
- 2.7 u |
After |
11.9 u |
4.8 u |
6.3 u |
Number of stickers that Chester gave to Ethan and Liam
=
310 x 9 u
= 2.7 u
Number of stickers that Liam received from Chester
=
20100 x 4 u
= 0.8 u
Number of stickers that Ethan received from Chester
= 2.7 u - 0.8 u
= 1.9 u
Number of less stickers that Chester had less than Ethan
= 11.9 u - 6.3 u
= 5.6 u
5.6 u = 224
1 u = 224 ÷ 5.6 = 40
Number of stickers that Ethan and Chester had
= 11.9 u + 6.3 u
= 18.2 u
= 18.2 x 40
= 728
Answer(s): 728