Anna has 25% as many stickers as Natalie. Natalie has 130% as many stickers as Tammy. If Natalie gives 18 stickers to Tammy, both will then have an equal number of stickers. Find the average number of stickers the three of them have.
Anna |
Natalie |
Tammy |
1x13 |
4x13 |
|
|
13x4 |
10x4 |
13 u |
52 u |
40 u |
25% =
25100 =
14130% =
130100=
1310The number of stickers that Anna has is repeated. Make the number of stickers that Anna has the same. LCM of 4 and 13 is 52.
|
Natalie |
Tammy |
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 Natalie and Tammy have
= 52 u + 40 u
= 92 u
After Natalie gives to Tammy, both of them will have the same number of stickers.
The total number of stickers that Natalie and Tammy have remains unchanged.
Number of stickers that each of them will have
= 92 u ÷ 2
= 46 u
Number of stickers that Natalie gives to Tammy
= 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