The ratio of Lucas's buttons to Claire's buttons at first was 2 : 5. After Lucas gave Claire 54 buttons, the ratio of Lucas's buttons to Claire's buttons is 1 : 4. What was the number of buttons they had in all?
|
Lucas |
Claire |
Total |
Before |
2x5 = 10 u |
5x5 = 25 u
|
7x5 = 35 u |
Change |
- 54 |
+ 54 |
|
After |
1x7 = 7 u |
4x7 = 28 u |
5x7 = 35 u |
Number of buttons that Lucas gave Claire
= 10 u - 7 u
= 3 u
3 u = 54
1 u = 54 ÷ 3 = 18
Total number of buttons that they had
= 35 u
= 35 x 18
= 630
Answer(s): 630