The total number of marbles in Basket E, Basket F and Basket G was 104.
35 of the marbles from Basket E and 24 marbles from Basket F were removed. More marbles were then added into Basket G until the number of marbles in it was tripled. The ratio of the number of marbles in Basket E to Basket F to Basket G became 2 : 2 : 3.
- How many more marbles were there in Basket E than Basket F at first?
- Find the total number of marbles in Basket E and Basket G in the end.
|
Basket E |
Basket F |
Basket G |
Total |
Before |
5 u |
2 u + 24 |
1 u |
104 |
Change |
- 3 u |
- 24 |
+ 2 u |
|
After |
2 u |
|
3 u |
|
Comparing the marbles in the end |
2 u |
2 u |
3 u |
|
(a)
Total number of marbles at first
= 5 u + 2 u + 24 + 1 u
= 8 u + 24
8 u + 24 = 104
8 u = 104 - 24
8 u = 80
1 u = 80 ÷ 8 = 10
Number of more marbles in Basket E than Basket F at first
= 5 u - (2 u + 24)
= 5 u - 2 u - 24
= 3 u - 24
= 3 x 10 - 24
= 30 - 24
= 6
(b)
Total number of marbles in Basket E and Basket G in the end
= 2 u + 3 u
= 5 u
= 5 x 10
= 50
Answer(s): (a) 6; (b) 50