Yoko has 30% as many stickers as Fanny. Fanny has 110% as many stickers as Irene. If Fanny gives 35 stickers to Irene, both will then have an equal number of stickers. Find the average number of stickers the three of them have.
Yoko |
Fanny |
Irene |
3x11 |
10x11 |
|
|
11x10 |
10x10 |
33 u |
110 u |
100 u |
30% =
30100 =
310110% =
110100=
1110The number of stickers that Yoko has is repeated. Make the number of stickers that Yoko has the same. LCM of 10 and 11 is 110.
|
Fanny |
Irene |
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 Fanny and Irene have
= 110 u + 100 u
= 210 u
After Fanny gives to Irene, both of them will have the same number of stickers.
The total number of stickers that Fanny and Irene have remains unchanged.
Number of stickers that each of them will have
= 210 u ÷ 2
= 105 u
Number of stickers that Fanny gives to Irene
= 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