Oliver, Albert and Will had a total of 62 marbles. The ratio of the number of marbles that Albert had to the number of marbles that Will had was 2 : 9. After Oliver and Albert each gave away half of their marbles, the 3 children had 49 marbles left. How many marbles did Albert and Will have in the end?
| |
Oliver |
Albert |
Will |
Total |
| Before |
2 p |
2 u |
9 u |
62 |
| Change |
- 1 p |
- 1 u |
|
- 13 |
| After |
1 p |
1 u |
9 u |
49 |
Total number of marbles that Oliver and Albert gave away
= 62 - 49
= 13
1 p + 1 u = 13 --- (1)
1 p + 1 u + 9 u = 49
1 p + 10 u = 49 --- (2)
(2) - (1)
(1 p + 10 u) - (1 p + 1 u) = 49 - 13
10 u - 1 u = 36
9 u = 36
1 u = 36 ÷ 9 = 4
Total number of marbles that Albert and Will had in the end
= 1 u + 9 u
= 10 u
= 10 x 4
= 40
Answer(s): 40
