The ratio of Elizabeth's buttons to Aaron's buttons at first was 3 : 5. After Elizabeth gave Aaron 16 buttons, the ratio of Elizabeth's buttons to Aaron's buttons is 1 : 3. What was the number of buttons they had in all?
|
Elizabeth |
Aaron |
Total |
Before |
3x4 = 12 u |
5x4 = 20 u
|
8x4 = 32 u |
Change |
- 16 |
+ 16 |
|
After |
1x8 = 8 u |
3x8 = 24 u |
4x8 = 32 u |
Number of buttons that Elizabeth gave Aaron
= 12 u - 8 u
= 4 u
4 u = 16
1 u = 16 ÷ 4 = 4
Total number of buttons that they had
= 32 u
= 32 x 4
= 128
Answer(s): 128