Japheth, Zeph and Cai collected stickers in the ratio of 12 : 7 : 6. After Cai gave
34 to Japheth and Zeph, Cai had 715 less stickers than Japheth. The number of stickers that Zeph had increased by 10%. How many stickers did Japheth and Cai have in the end?
|
Japheth |
Zeph |
Cai |
Before |
12 u |
7 u |
6 u |
Change |
+ 3.8 u |
+ 0.7 u |
- 4.5 u |
After |
15.8 u |
7.7 u |
1.5 u |
Number of stickers that Cai gave to Japheth and Zeph
=
34 x 6 u
= 4.5 u
Number of stickers that Zeph received from Cai
=
10100 x 7 u
= 0.7 u
Number of stickers that Japheth received from Cai
= 4.5 u - 0.7 u
= 3.8 u
Number of less stickers that Cai had less than Japheth
= 15.8 u - 1.5 u
= 14.3 u
14.3 u = 715
1 u = 715 ÷ 14.3 = 50
Number of stickers that Japheth and Cai had
= 15.8 u + 1.5 u
= 17.3 u
= 17.3 x 50
= 865
Answer(s): 865