The ratio of Joseph's buttons to Hannah's buttons at first was 3 : 7. After Joseph gave Hannah 15 buttons, the ratio of Joseph's buttons to Hannah's buttons is 1 : 4. What was the number of buttons they had in all?
|
Joseph |
Hannah |
Total |
Before |
3x5 = 15 u |
7x5 = 35 u
|
10x5 = 50 u |
Change |
- 15 |
+ 15 |
|
After |
1x10 = 10 u |
4x10 = 40 u |
5x10 = 50 u |
Number of buttons that Joseph gave Hannah
= 15 u - 10 u
= 5 u
5 u = 15
1 u = 15 ÷ 5 = 3
Total number of buttons that they had
= 50 u
= 50 x 3
= 150
Answer(s): 150