Luis, Billy and Rael have some buttons. The ratios of their buttons are as follows:
Luis : (Luis + Billy + Rael) = 3 : 7
Billy : (Luis + Rael) = 1 : 5
Rael has 100 buttons more than Billy. In the end, Rael gives away all he has to Billy and Luis so that both Billy and Luis end up with the same number of buttons, how many buttons has Luis received from Rael?
Billy |
Rael |
Luis |
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 Rael has more than Billy
= 17 u - 7 u
= 10 u
10 u = 100
1 u = 100 ÷ 10 = 10
|
Billy |
Rael |
Luis |
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 Luis has received from Rael
= 21 u - 18 u
= 3 u
= 3 x 10
= 30
Answer(s): 30