Xuan has 25% as many stickers as Gem. Gem has 130% as many stickers as Fanny. If Gem gives 18 stickers to Fanny, both will then have an equal number of stickers. Find the average number of stickers the three of them have.
Xuan |
Gem |
Fanny |
1x13 |
4x13 |
|
|
13x4 |
10x4 |
13 u |
52 u |
40 u |
25% =
25100 =
14130% =
130100=
1310The number of stickers that Xuan has is repeated. Make the number of stickers that Xuan has the same. LCM of 4 and 13 is 52.
|
Gem |
Fanny |
Total |
Before |
52 u |
40 u |
92 u |
Change |
- 6 u |
+ 6 u |
|
After |
46 u |
46 u |
92 u |
Total number of stickers that Gem and Fanny have
= 52 u + 40 u
= 92 u
After Gem gives to Fanny, both of them will have the same number of stickers.
The total number of stickers that Gem and Fanny have remains unchanged.
Number of stickers that each of them will have
= 92 u ÷ 2
= 46 u
Number of stickers that Gem gives to Fanny
= 52 u - 46 u
= 6 u
6 u = 18
1 u = 18 ÷ 6 = 3
Total number of stickers that three of them have
= 92 u + 13 u
= 105 u
Average number of stickers that each of them have
= 105 u ÷ 3
= 35 u
= 35 x 3
= 105
Answer(s): 105