The ratio of Julian's buttons to Sophia's buttons at first was 3 : 5. After Julian gave Sophia 68 buttons, the ratio of Julian's buttons to Sophia's buttons is 1 : 3. What was the number of buttons they had altogether?
|
Julian |
Sophia |
Total |
Before |
3x4 = 12 u |
5x4 = 20 u
|
8x4 = 32 u |
Change |
- 68 |
+ 68 |
|
After |
1x8 = 8 u |
3x8 = 24 u |
4x8 = 32 u |
Number of buttons that Julian gave Sophia
= 12 u - 8 u
= 4 u
4 u = 68
1 u = 68 ÷ 4 = 17
Total number of buttons that they had
= 32 u
= 32 x 17
= 544
Answer(s): 544