Zara has 30% as many stickers as Sarah. Sarah has 110% as many stickers as Pamela. If Sarah gives 35 stickers to Pamela, both will then have an equal number of stickers. Find the average number of stickers the three of them have.
Zara |
Sarah |
Pamela |
3x11 |
10x11 |
|
|
11x10 |
10x10 |
33 u |
110 u |
100 u |
30% =
30100 =
310110% =
110100=
1110The number of stickers that Zara has is repeated. Make the number of stickers that Zara has the same. LCM of 10 and 11 is 110.
|
Sarah |
Pamela |
Total |
Before |
110 u |
100 u |
210 u |
Change |
- 5 u |
+ 5 u |
|
After |
105 u |
105 u |
210 u |
Total number of stickers that Sarah and Pamela have
= 110 u + 100 u
= 210 u
After Sarah gives to Pamela, both of them will have the same number of stickers.
The total number of stickers that Sarah and Pamela have remains unchanged.
Number of stickers that each of them will have
= 210 u ÷ 2
= 105 u
Number of stickers that Sarah gives to Pamela
= 110 u - 105 u
= 5 u
5 u = 35
1 u = 35 ÷ 5 = 7
Total number of stickers that three of them have
= 210 u + 33 u
= 243 u
Average number of stickers that each of them have
= 243 u ÷ 3
= 81 u
= 81 x 7
= 567
Answer(s): 567