The ratio of Abigail's buttons to Julie's buttons at first was 3 : 7. After Abigail gave Julie 105 buttons, the ratio of Abigail's buttons to Julie's buttons is 1 : 4. What was the number of buttons they had in all?
| |
Abigail |
Julie |
Total |
| Before |
3x5 =
15 u |
7x5 =
35 u
|
10x5 =
50 u |
| Change |
- 105 |
+ 105 |
|
| After |
1x10 =
10 u |
4x10 =
40 u |
5x10 =
50 u |
Number of buttons that Abigail gave Julie
= 15 u - 10 u
= 5 u
5 u = 105
1 u = 105 ÷ 5 = 21
Total number of buttons that they had
= 50 u
= 50 x 21
= 1050
Answer(s): 1050
