Eric, Charlie and Tim have some buttons. The ratios of their buttons are as follows:
Eric : (Eric + Charlie + Tim) = 2 : 5
Charlie : (Eric + Tim) = 1 : 3
Tim has 24 buttons more than Charlie. In the end, Tim gives away all he has to Charlie and Eric so that both Charlie and Eric end up with the same number of buttons, how many buttons has Charlie received from Tim?
Charlie |
Tim |
Eric |
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 Tim has more than Charlie
= 7 u - 5 u
= 2 u
2 u = 24
1 u = 24 ÷ 2 = 12
|
Charlie |
Tim |
Eric |
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 Charlie has received from Tim
= 10 u - 5 u
= 5 u
= 5 x 12
= 60
Answer(s): 60