Roshel, Diana and Victoria have 110 buttons. Roshel has
56 as many buttons as Diana. Victoria's buttons is
14 of the total number of Roshel's and Diana's buttons. How many buttons must Diana give to Victoria so that both Roshel and Victoria will have the same number of buttons?
Roshel |
Diana |
Victoria |
Total |
4x11 = 44 u |
1x11 = 11 u |
|
5x4 = 20 u |
6x4 = 24 u |
|
|
20 u |
24 u |
11 u |
110 |
Total number of buttons
= 20 u + 24 u + 11 u
= 55 u
55 u = 110
1 u = 110 ÷ 55 = 2
Roshel |
Diana |
Victoria |
Total |
20 u |
24 u |
11 u |
110 |
|
- 9 u |
+ 9 u |
|
20 u |
15 u |
20 u |
110 |
Number of buttons that Diana must give to Victoria
= 20 u - 11 u
= 9 u
= 9 x 2
= 18
Answer(s): 18