Opal has 25% as many stickers as Nicole. Nicole has 130% as many stickers as Kylie. If Nicole gives 60 stickers to Kylie, both will then have an equal number of stickers. Find the average number of stickers the three of them have.
Opal |
Nicole |
Kylie |
1x13 |
4x13 |
|
|
13x4 |
10x4 |
13 u |
52 u |
40 u |
25% =
25100 =
14130% =
130100=
1310The number of stickers that Opal has is repeated. Make the number of stickers that Opal has the same. LCM of 4 and 13 is 52.
|
Nicole |
Kylie |
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 Nicole and Kylie have
= 52 u + 40 u
= 92 u
After Nicole gives to Kylie, both of them will have the same number of stickers.
The total number of stickers that Nicole and Kylie have remains unchanged.
Number of stickers that each of them will have
= 92 u ÷ 2
= 46 u
Number of stickers that Nicole gives to Kylie
= 52 u - 46 u
= 6 u
6 u = 60
1 u = 60 ÷ 6 = 10
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 10
= 350
Answer(s): 350