Elijah and Flynn had some pens in the ratio of 11 : 6. Flynn and Daniel had some pens in the ratio of 9 : 5. Elijah sold 144 pens to Daniel and ended up with half the number of pens Flynn had. How many pens did Daniel have in the end?
| Elijah |
Flynn |
Daniel |
| 11x3 |
6x3 |
|
| |
9x2 |
5x2 |
| 33 u |
18 u |
10 u |
The number of pens that Flynn had at first is repeated. Make the number of pens that Flynn had at first the same. LCM of 6 and 9 is 18.
| |
Elijah |
Flynn |
Daniel |
| Before |
33 u |
18 u |
10 u |
| Change |
- 144 |
|
+ 144 |
| After |
9 u |
18 u |
10 u + 144 |
Number of pens that Elijah had in the end
= 18 u ÷ 2
= 9 u
Number of pens that Elijah sold to Daniel
= 33 u - 9 u
= 24 u
24 u = 144
1 u = 144 ÷ 24 = 6
Number of pens that Daniel had in the end
= 10 u + 144
= 10 x 6 + 144
= 60 + 144
= 204
Answer(s): 204
