Simon, Peter and Colin collected stickers in the ratio of 9 : 4 : 5. After Colin gave
15 to Simon and Peter, Colin had 116 less stickers than Simon. The number of stickers that Peter had increased by 5%. How many stickers did Simon and Colin have in the end?
| |
Simon |
Peter |
Colin |
| Before |
9 u |
4 u |
5 u |
| Change |
+ 0.8 u |
+ 0.2 u |
- 1 u |
| After |
9.8 u |
4.2 u |
4 u |
Number of stickers that Colin gave to Simon and Peter
=
15 x 5 u
= 1 u
Number of stickers that Peter received from Colin
=
5100 x 4 u
= 0.2 u
Number of stickers that Simon received from Colin
= 1 u - 0.2 u
= 0.8 u
Number of less stickers that Colin had less than Simon
= 9.8 u - 4 u
= 5.8 u
5.8 u = 116
1 u = 116 ÷ 5.8 = 20
Number of stickers that Simon and Colin had
= 9.8 u + 4 u
= 13.8 u
= 13.8 x 20
= 276
Answer(s): 276
