Andy has 30% as many stamps as Cody. If Andy gives away 25% of the stamps and Cody gives away 50% of his stamps, they will have 261 stamps altogether. How many stamps do the two of them have?
| |
Andy |
Cody |
Total |
Comparing Andy
and Cody at first |
3x4 =
12 u |
10x4 =
40 u |
|
| Before |
4x3 =
12 u |
2x20 =
40 u |
|
| Change |
- 1x3 =
- 3 u |
- 1x20 =
- 20 u |
|
| After |
3x3 =
9 u |
1x20 =
20 u |
261 |
30% =
30100 =
310 25% =
25100 =
14 50% =
50100 =
12 The number of stamps that Andy has at first is repeated. Make the number of stamps that Andy has the same. LCM of 3 and 4 is 12 u.
The number of stamps that Cody has at first is repeated. Make the number of stamps that Cody has the same. LCM of 10 and 2 is 40 u.
Number of stamps in the end
= 9 u + 20 u
= 29 u
29 u = 261
1 u = 261 ÷ 29 = 9
Total number of stamps that the two of them have
= 12 u + 40 u
= 52 u
= 52 x 9
= 468
Answer(s): 468
