Jenson and Flynn had some buttons in the ratio of 4 : 3. Flynn and Elijah had some buttons in the ratio of 2 : 1. Jenson sold 30 buttons to Elijah and ended up with half the number of buttons Flynn had. How many buttons did Elijah have in the end?
| Jenson |
Flynn |
Elijah |
| 4x2 |
3x2 |
|
| |
2x3 |
1x3 |
| 8 u |
6 u |
3 u |
The number of buttons that Flynn had at first is repeated. Make the number of buttons that Flynn had at first the same. LCM of 3 and 2 is 6.
| |
Jenson |
Flynn |
Elijah |
| Before |
8 u |
6 u |
3 u |
| Change |
- 30 |
|
+ 30 |
| After |
3 u |
6 u |
3 u + 30 |
Number of buttons that Jenson had in the end
= 6 u ÷ 2
= 3 u
Number of buttons that Jenson sold to Elijah
= 8 u - 3 u
= 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Number of buttons that Elijah had in the end
= 3 u + 30
= 3 x 6 + 30
= 18 + 30
= 48
Answer(s): 48
