The ratio of Henry's buttons to Isabella's buttons at first was 3 : 5. After Henry gave Isabella 76 buttons, the ratio of Henry's buttons to Isabella's buttons is 1 : 3. What was the number of buttons they had in total?
|
Henry |
Isabella |
Total |
Before |
3x4 = 12 u |
5x4 = 20 u
|
8x4 = 32 u |
Change |
- 76 |
+ 76 |
|
After |
1x8 = 8 u |
3x8 = 24 u |
4x8 = 32 u |
Number of buttons that Henry gave Isabella
= 12 u - 8 u
= 4 u
4 u = 76
1 u = 76 ÷ 4 = 19
Total number of buttons that they had
= 32 u
= 32 x 19
= 608
Answer(s): 608