The ratio of Scarlett's buttons to John's buttons at first was 2 : 5. After Scarlett gave John 36 buttons, the ratio of Scarlett's buttons to John's buttons is 1 : 4. What was the number of buttons they had altogether?
|
Scarlett |
John |
Total |
Before |
2x5 = 10 u |
5x5 = 25 u
|
7x5 = 35 u |
Change |
- 36 |
+ 36 |
|
After |
1x7 = 7 u |
4x7 = 28 u |
5x7 = 35 u |
Number of buttons that Scarlett gave John
= 10 u - 7 u
= 3 u
3 u = 36
1 u = 36 ÷ 3 = 12
Total number of buttons that they had
= 35 u
= 35 x 12
= 420
Answer(s): 420