Will, Ahmad and Glen have some buttons. The ratios of their buttons are as follows:
Will : (Will + Ahmad + Glen) = 3 : 7
Ahmad : (Will + Glen) = 1 : 5
Glen has 70 buttons more than Ahmad. In the end, Glen gives away all he has to Ahmad and Will so that both Ahmad and Will end up with the same number of buttons, how many buttons has Will received from Glen?
Ahmad |
Glen |
Will |
Total |
4x6 |
3x6 |
7x6 |
1x7 |
5x7 |
6x7 |
7 u |
17 u |
18 u |
42 u |
The total number of buttons is repeated. Make the total number of buttons the same. LCM of 7 and 6 is 42.
Number of buttons that Glen has more than Ahmad
= 17 u - 7 u
= 10 u
10 u = 70
1 u = 70 ÷ 10 = 7
|
Ahmad |
Glen |
Will |
Before |
7 u |
17 u |
18 u |
Change |
+ 14 u |
- 17 u |
+ 3 u |
After |
21 u |
0 u |
21 u |
Number of buttons that Will has received from Glen
= 21 u - 18 u
= 3 u
= 3 x 7
= 21
Answer(s): 21