Tim, David and Calvin collected stamps in the ratio of 10 : 6 : 9. After Calvin gave
45 to Tim and David, Calvin had 740 less stamps than Tim. The number of stamps that David had increased by 10%. How many stamps did Tim and Calvin have in the end?
| |
Tim |
David |
Calvin |
| Before |
10 u |
6 u |
9 u |
| Change |
+ 6.6 u |
+ 0.6 u |
- 7.2 u |
| After |
16.6 u |
6.6 u |
1.8 u |
Number of stamps that Calvin gave to Tim and David
=
45 x 9 u
= 7.2 u
Number of stamps that David received from Calvin
=
10100 x 6 u
= 0.6 u
Number of stamps that Tim received from Calvin
= 7.2 u - 0.6 u
= 6.6 u
Number of less stamps that Calvin had less than Tim
= 16.6 u - 1.8 u
= 14.8 u
14.8 u = 740
1 u = 740 ÷ 14.8 = 50
Number of stamps that Tim and Calvin had
= 16.6 u + 1.8 u
= 18.4 u
= 18.4 x 50
= 920
Answer(s): 920
