Luke, Vincent and Clayton collected stickers in the ratio of 9 : 8 : 10. After Clayton gave
710 to Luke and Vincent, Clayton had 530 less stickers than Luke. The number of stickers that Vincent had increased by 30%. How many stickers did Luke and Clayton have in the end?
|
Luke |
Vincent |
Clayton |
Before |
9 u |
8 u |
10 u |
Change |
+ 4.6 u |
+ 2.4 u |
- 7 u |
After |
13.6 u |
10.4 u |
3 u |
Number of stickers that Clayton gave to Luke and Vincent
=
710 x 10 u
= 7 u
Number of stickers that Vincent received from Clayton
=
30100 x 8 u
= 2.4 u
Number of stickers that Luke received from Clayton
= 7 u - 2.4 u
= 4.6 u
Number of less stickers that Clayton had less than Luke
= 13.6 u - 3 u
= 10.6 u
10.6 u = 530
1 u = 530 ÷ 10.6 = 50
Number of stickers that Luke and Clayton had
= 13.6 u + 3 u
= 16.6 u
= 16.6 x 50
= 830
Answer(s): 830