Xuan has 25% as many stamps as Julie. Julie has 130% as many stamps as Marion. If Julie gives 24 stamps to Marion, both will then have an equal number of stamps. Find the average number of stamps the three of them have.
Xuan |
Julie |
Marion |
1x13 |
4x13 |
|
|
13x4 |
10x4 |
13 u |
52 u |
40 u |
25% =
25100 =
14130% =
130100=
1310The number of stamps that Xuan has is repeated. Make the number of stamps that Xuan has the same. LCM of 4 and 13 is 52.
|
Julie |
Marion |
Total |
Before |
52 u |
40 u |
92 u |
Change |
- 6 u |
+ 6 u |
|
After |
46 u |
46 u |
92 u |
Total number of stamps that Julie and Marion have
= 52 u + 40 u
= 92 u
After Julie gives to Marion, both of them will have the same number of stamps.
The total number of stamps that Julie and Marion have remains unchanged.
Number of stamps that each of them will have
= 92 u ÷ 2
= 46 u
Number of stamps that Julie gives to Marion
= 52 u - 46 u
= 6 u
6 u = 24
1 u = 24 ÷ 6 = 4
Total number of stamps that three of them have
= 92 u + 13 u
= 105 u
Average number of stamps that each of them have
= 105 u ÷ 3
= 35 u
= 35 x 4
= 140
Answer(s): 140