Reggie and Ryan had some marbles in the ratio of 9 : 2. Ryan and Wesley had some marbles in the ratio of 3 : 1. Reggie sold 144 marbles to Wesley and ended up with half the number of marbles Ryan had. How many marbles did Wesley have in the end?
| Reggie |
Ryan |
Wesley |
| 9x3 |
2x3 |
|
| |
3x2 |
1x2 |
| 27 u |
6 u |
2 u |
The number of marbles that Ryan had at first is repeated. Make the number of marbles that Ryan had at first the same. LCM of 2 and 3 is 6.
| |
Reggie |
Ryan |
Wesley |
| Before |
27 u |
6 u |
2 u |
| Change |
- 144 |
|
+ 144 |
| After |
3 u |
6 u |
2 u + 144 |
Number of marbles that Reggie had in the end
= 6 u ÷ 2
= 3 u
Number of marbles that Reggie sold to Wesley
= 27 u - 3 u
= 24 u
24 u = 144
1 u = 144 ÷ 24 = 6
Number of marbles that Wesley had in the end
= 2 u + 144
= 2 x 6 + 144
= 12 + 144
= 156
Answer(s): 156
