Charlie, Luis and Tim have some buttons. The ratios of their buttons are as follows:
Charlie : (Charlie + Luis + Tim) = 3 : 7
Luis : (Charlie + Tim) = 1 : 5
Tim has 90 buttons more than Luis. In the end, Tim gives away all he has to Luis and Charlie so that both Luis and Charlie end up with the same number of buttons, how many buttons has Charlie received from Tim?
Luis |
Tim |
Charlie |
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 Tim has more than Luis
= 17 u - 7 u
= 10 u
10 u = 90
1 u = 90 ÷ 10 = 9
|
Luis |
Tim |
Charlie |
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 Charlie has received from Tim
= 21 u - 18 u
= 3 u
= 3 x 9
= 27
Answer(s): 27