The total number of beads in Bag T, Bag U and Bag V was 150.
38 of the beads from Bag T and 20 beads from Bag U were removed. More beads were then added into Bag V until the number of beads in it was tripled. The ratio of the number of beads in Bag T to Bag U to Bag V became 5 : 4 : 3.
- How many more beads were there in Bag T than Bag U at first?
- Find the total number of beads in Bag T and Bag V in the end.
|
Bag T |
Bag U |
Bag V |
Total |
Before |
8 u |
4 u + 20 |
1 u |
150 |
Change |
- 3 u |
- 20 |
+ 2 u |
|
After |
5 u |
|
3 u |
|
Comparing the beads in the end |
5 u |
4 u |
3 u |
|
(a)
Total number of beads at first
= 8 u + 4 u + 20 + 1 u
= 13 u + 20
13 u + 20 = 150
13 u = 150 - 20
13 u = 130
1 u = 130 ÷ 13 = 10
Number of more beads in Bag T than Bag U at first
= 8 u - (4 u + 20)
= 8 u - 4 u - 20
= 4 u - 20
= 4 x 10 - 20
= 40 - 20
= 20
(b)
Total number of beads in Bag T and Bag V in the end
= 5 u + 3 u
= 8 u
= 8 x 10
= 80
Answer(s): (a) 20; (b) 80