The ratio of Caleb's buttons to Hannah's buttons at first was 3 : 7. After Caleb gave Hannah 80 buttons, the ratio of Caleb's buttons to Hannah's buttons is 1 : 4. What was the number of buttons they had altogether?
| |
Caleb |
Hannah |
Total |
| Before |
3x5 =
15 u |
7x5 =
35 u
|
10x5 =
50 u |
| Change |
- 80 |
+ 80 |
|
| After |
1x10 =
10 u |
4x10 =
40 u |
5x10 =
50 u |
Number of buttons that Caleb gave Hannah
= 15 u - 10 u
= 5 u
5 u = 80
1 u = 80 ÷ 5 = 16
Total number of buttons that they had
= 50 u
= 50 x 16
= 800
Answer(s): 800
