The ratio of Christopher's buttons to Anthony's buttons at first was 3 : 7. After Christopher gave Anthony 75 buttons, the ratio of Christopher's buttons to Anthony's buttons is 1 : 4. What was the number of buttons they had in all?
|
Christopher |
Anthony |
Total |
Before |
3x5 = 15 u |
7x5 = 35 u
|
10x5 = 50 u |
Change |
- 75 |
+ 75 |
|
After |
1x10 = 10 u |
4x10 = 40 u |
5x10 = 50 u |
Number of buttons that Christopher gave Anthony
= 15 u - 10 u
= 5 u
5 u = 75
1 u = 75 ÷ 5 = 15
Total number of buttons that they had
= 50 u
= 50 x 15
= 750
Answer(s): 750