The ratio of Jack's buttons to Josiah's buttons at first was 3 : 7. After Jack gave Josiah 34 buttons, the ratio of Jack's buttons to Josiah's buttons is 1 : 3. What was the number of buttons they had altogether?
|
Jack |
Josiah |
Total |
Before |
3x4 = 12 u |
7x4 = 28 u
|
10x4 = 40 u |
Change |
- 34 |
+ 34 |
|
After |
1x10 = 10 u |
3x10 = 30 u |
4x10 = 40 u |
Number of buttons that Jack gave Josiah
= 12 u - 10 u
= 2 u
2 u = 34
1 u = 34 ÷ 2 = 17
Total number of buttons that they had
= 40 u
= 40 x 17
= 680
Answer(s): 680