Dylan, Ryan and Glen had a total of 38 marbles. The ratio of the number of marbles that Ryan had to the number of marbles that Glen had was 2 : 3. After Dylan and Ryan each gave away half of their marbles, the 3 children had 28 marbles left. How many marbles did Ryan and Glen have in the end?
| |
Dylan |
Ryan |
Glen |
Total |
| Before |
2 p |
2 u |
3 u |
38 |
| Change |
- 1 p |
- 1 u |
|
- 10 |
| After |
1 p |
1 u |
3 u |
28 |
Total number of marbles that Dylan and Ryan gave away
= 38 - 28
= 10
1 p + 1 u = 10 --- (1)
1 p + 1 u + 3 u = 28
1 p + 4 u = 28 --- (2)
(2) - (1)
(1 p + 4 u) - (1 p + 1 u) = 28 - 10
4 u - 1 u = 18
3 u = 18
1 u = 18 ÷ 3 = 6
Total number of marbles that Ryan and Glen had in the end
= 1 u + 3 u
= 4 u
= 4 x 6
= 24
Answer(s): 24
