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