The ratio of Jeremiah's buttons to Ethan's buttons at first was 2 : 5. After Jeremiah gave Ethan 114 buttons, the ratio of Jeremiah's buttons to Ethan's buttons is 1 : 4. What was the number of buttons they had altogether?
|
Jeremiah |
Ethan |
Total |
Before |
2x5 = 10 u |
5x5 = 25 u
|
7x5 = 35 u |
Change |
- 114 |
+ 114 |
|
After |
1x7 = 7 u |
4x7 = 28 u |
5x7 = 35 u |
Number of buttons that Jeremiah gave Ethan
= 10 u - 7 u
= 3 u
3 u = 114
1 u = 114 ÷ 3 = 38
Total number of buttons that they had
= 35 u
= 35 x 38
= 1330
Answer(s): 1330