Ben, Dylan and Chester collected stickers in the ratio of 12 : 4 : 5. After Chester gave
35 to Ben and Dylan, Chester had 348 less stickers than Ben. The number of stickers that Dylan had increased by 35%. How many stickers did Ben and Chester have in the end?
|
Ben |
Dylan |
Chester |
Before |
12 u |
4 u |
5 u |
Change |
+ 1.6 u |
+ 1.4 u |
- 3 u |
After |
13.6 u |
5.4 u |
2 u |
Number of stickers that Chester gave to Ben and Dylan
=
35 x 5 u
= 3 u
Number of stickers that Dylan received from Chester
=
35100 x 4 u
= 1.4 u
Number of stickers that Ben received from Chester
= 3 u - 1.4 u
= 1.6 u
Number of less stickers that Chester had less than Ben
= 13.6 u - 2 u
= 11.6 u
11.6 u = 348
1 u = 348 ÷ 11.6 = 30
Number of stickers that Ben and Chester had
= 13.6 u + 2 u
= 15.6 u
= 15.6 x 30
= 468
Answer(s): 468