Jack, Reggie and Clark collected stickers in the ratio of 11 : 7 : 6. After Clark gave
34 to Jack and Reggie, Clark had 112 less stickers than Jack. The number of stickers that Reggie had increased by 40%. How many stickers did Jack and Clark have in the end?
|
Jack |
Reggie |
Clark |
Before |
11 u |
7 u |
6 u |
Change |
+ 1.7 u |
+ 2.8 u |
- 4.5 u |
After |
12.7 u |
9.8 u |
1.5 u |
Number of stickers that Clark gave to Jack and Reggie
=
34 x 6 u
= 4.5 u
Number of stickers that Reggie received from Clark
=
40100 x 7 u
= 2.8 u
Number of stickers that Jack received from Clark
= 4.5 u - 2.8 u
= 1.7 u
Number of less stickers that Clark had less than Jack
= 12.7 u - 1.5 u
= 11.2 u
11.2 u = 112
1 u = 112 ÷ 11.2 = 10
Number of stickers that Jack and Clark had
= 12.7 u + 1.5 u
= 14.2 u
= 14.2 x 10
= 142
Answer(s): 142