Fabian has 10% as many stamps as Archie. If Fabian gives away 25% of the stamps and Archie gives away 90% of his stamps, they will have 49 stamps altogether. How many stamps do the two of them have?
| |
Fabian |
Archie |
Total |
Comparing Fabian
and Archie at first |
1x4 =
4 u |
10x4 =
40 u |
|
| Before |
4x1 =
4 u |
10x4 =
40 u |
|
| Change |
- 1x1 =
- 1 u |
- 9x4 =
- 36 u |
|
| After |
3x1 =
3 u |
1x4 =
4 u |
49 |
10% =
10100 =
110 25% =
25100 =
14 90% =
90100 =
910 The number of stamps that Fabian has at first is repeated. Make the number of stamps that Fabian has the same. LCM of 1 and 4 is 4 u.
The number of stamps that Archie has at first is repeated. Make the number of stamps that Archie has the same. LCM of 10 and 10 is 40 u.
Number of stamps in the end
= 3 u + 4 u
= 7 u
7 u = 49
1 u = 49 ÷ 7 = 7
Total number of stamps that the two of them have
= 4 u + 40 u
= 44 u
= 44 x 7
= 308
Answer(s): 308
