Sam, Seth and Clayton collected stamps in the ratio of 9 : 4 : 6. After Clayton gave
45 to Sam and Seth, Clayton had 456 less stamps than Sam. The number of stamps that Seth had increased by 30%. How many stamps did Sam and Clayton have in the end?
| |
Sam |
Seth |
Clayton |
| Before |
9 u |
4 u |
6 u |
| Change |
+ 3.6 u |
+ 1.2 u |
- 4.8 u |
| After |
12.6 u |
5.2 u |
1.2 u |
Number of stamps that Clayton gave to Sam and Seth
=
45 x 6 u
= 4.8 u
Number of stamps that Seth received from Clayton
=
30100 x 4 u
= 1.2 u
Number of stamps that Sam received from Clayton
= 4.8 u - 1.2 u
= 3.6 u
Number of less stamps that Clayton had less than Sam
= 12.6 u - 1.2 u
= 11.4 u
11.4 u = 456
1 u = 456 ÷ 11.4 = 40
Number of stamps that Sam and Clayton had
= 12.6 u + 1.2 u
= 13.8 u
= 13.8 x 40
= 552
Answer(s): 552
