Jeremy, Ben and Cole collected stickers in the ratio of 9 : 8 : 10. After Cole gave
310 to Jeremy and Ben, Cole had 34 less stickers than Jeremy. The number of stickers that Ben had increased by 20%. How many stickers did Jeremy and Cole have in the end?
|
Jeremy |
Ben |
Cole |
Before |
9 u |
8 u |
10 u |
Change |
+ 1.4 u |
+ 1.6 u |
- 3 u |
After |
10.4 u |
9.6 u |
7 u |
Number of stickers that Cole gave to Jeremy and Ben
=
310 x 10 u
= 3 u
Number of stickers that Ben received from Cole
=
20100 x 8 u
= 1.6 u
Number of stickers that Jeremy received from Cole
= 3 u - 1.6 u
= 1.4 u
Number of less stickers that Cole had less than Jeremy
= 10.4 u - 7 u
= 3.4 u
3.4 u = 34
1 u = 34 ÷ 3.4 = 10
Number of stickers that Jeremy and Cole had
= 10.4 u + 7 u
= 17.4 u
= 17.4 x 10
= 174
Answer(s): 174