Change ratio into units.
Fill in the blanks in numbers, units or unit equations.
Bryan and Adam share a sum of money in the ratio 3 : 4.
After Bryan gives
45 of his money to Adam,
Adam has $87 more than Bryan.
- Difference in the amount between Bryan and Adam at first = _____ u
- Amount that Adam has in the end = _____ u
- Total amount that they have = _____ u
- 1 u = $_____
|
Bryan |
Adam |
Comparing between Bryan and Adam at first |
3 x 5 = 15 u |
4 x 5 = 20 u |
Before |
5 x 3 = 15 u |
|
Change |
4 x 3 = - 12 u |
+ 12 u |
After |
1 x 3 = 3 u |
32 u |
(a)
Change ratio into units.
The amount that Bryan has at first is repeated.
Amount that Bryan has at first = 15 u
Amount that Adam has at first = 20 u
Difference in the amount between Bryan and Adam at first
= 20 u - 15 u
= 5 u
(b)
Amount that Adam has in the end
= 20 u + 12 u
= 32 u
(c)
Total amount that they have
= 15 u + 20 u
= 35 u
(d)
Difference in the amount that they have in the end
= 32 u - 3 u
= 29 u
29 u = 87
1 u = 87 ÷ 29 = 3
Answer(s): (a) 5; (b) 32; (c) 35; (d) 3