Tiffany has 25% as many stickers as Elyse. Elyse has 130% as many stickers as Emma. If Elyse gives 54 stickers to Emma, both will then have an equal number of stickers. Find the average number of stickers the three of them have.
Tiffany |
Elyse |
Emma |
1x13 |
4x13 |
|
|
13x4 |
10x4 |
13 u |
52 u |
40 u |
25% =
25100 =
14130% =
130100=
1310The number of stickers that Tiffany has is repeated. Make the number of stickers that Tiffany has the same. LCM of 4 and 13 is 52.
|
Elyse |
Emma |
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 Elyse and Emma have
= 52 u + 40 u
= 92 u
After Elyse gives to Emma, both of them will have the same number of stickers.
The total number of stickers that Elyse and Emma have remains unchanged.
Number of stickers that each of them will have
= 92 u ÷ 2
= 46 u
Number of stickers that Elyse gives to Emma
= 52 u - 46 u
= 6 u
6 u = 54
1 u = 54 ÷ 6 = 9
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 9
= 315
Answer(s): 315