Sam, Dylan and Andy have some buttons. The ratios of their buttons are as follows:
Sam : (Sam + Dylan + Andy) = 2 : 5
Dylan : (Sam + Andy) = 1 : 3
Andy has 6 buttons more than Dylan. In the end, Andy gives away all he has to Dylan and Sam so that both Dylan and Sam end up with the same number of buttons, how many buttons has Dylan received from Andy?
Dylan |
Andy |
Sam |
Total |
3x4 |
2x4 |
5x4 |
1x5 |
3x5 |
4x5 |
5 u |
7 u |
8 u |
20 u |
The total number of buttons is repeated. Make the total number of buttons the same. LCM of 5 and 4 is 20.
Number of buttons that Andy has more than Dylan
= 7 u - 5 u
= 2 u
2 u = 6
1 u = 6 ÷ 2 = 3
|
Dylan |
Andy |
Sam |
Before |
5 u |
7 u |
8 u |
Change |
+ 5 u |
- 7 u |
+ 2 u |
After |
10 u |
0 u |
10 u |
Number of buttons that Dylan has received from Andy
= 10 u - 5 u
= 5 u
= 5 x 3
= 15
Answer(s): 15