Olivia has 30% as many stamps as Tiffany. Tiffany has 110% as many stamps as Eva. If Tiffany gives 20 stamps to Eva, both will then have an equal number of stamps. Find the average number of stamps the three of them have.
Olivia |
Tiffany |
Eva |
3x11 |
10x11 |
|
|
11x10 |
10x10 |
33 u |
110 u |
100 u |
30% =
30100 =
310110% =
110100=
1110The number of stamps that Olivia has is repeated. Make the number of stamps that Olivia has the same. LCM of 10 and 11 is 110.
|
Tiffany |
Eva |
Total |
Before |
110 u |
100 u |
210 u |
Change |
- 5 u |
+ 5 u |
|
After |
105 u |
105 u |
210 u |
Total number of stamps that Tiffany and Eva have
= 110 u + 100 u
= 210 u
After Tiffany gives to Eva, both of them will have the same number of stamps.
The total number of stamps that Tiffany and Eva have remains unchanged.
Number of stamps that each of them will have
= 210 u ÷ 2
= 105 u
Number of stamps that Tiffany gives to Eva
= 110 u - 105 u
= 5 u
5 u = 20
1 u = 20 ÷ 5 = 4
Total number of stamps that three of them have
= 210 u + 33 u
= 243 u
Average number of stamps that each of them have
= 243 u ÷ 3
= 81 u
= 81 x 4
= 324
Answer(s): 324