Pierre, Jack and Corwin collected stickers in the ratio of 11 : 8 : 10. After Corwin gave
35 to Pierre and Jack, Corwin had 306 less stickers than Pierre. The number of stickers that Jack had increased by 35%. How many stickers did Pierre and Corwin have in the end?
|
Pierre |
Jack |
Corwin |
Before |
11 u |
8 u |
10 u |
Change |
+ 3.2 u |
+ 2.8 u |
- 6 u |
After |
14.2 u |
10.8 u |
4 u |
Number of stickers that Corwin gave to Pierre and Jack
=
35 x 10 u
= 6 u
Number of stickers that Jack received from Corwin
=
35100 x 8 u
= 2.8 u
Number of stickers that Pierre received from Corwin
= 6 u - 2.8 u
= 3.2 u
Number of less stickers that Corwin had less than Pierre
= 14.2 u - 4 u
= 10.2 u
10.2 u = 306
1 u = 306 ÷ 10.2 = 30
Number of stickers that Pierre and Corwin had
= 14.2 u + 4 u
= 18.2 u
= 18.2 x 30
= 546
Answer(s): 546