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 : 5.
After Bryan gives
14 of his money to Adam,
Adam has $56 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 4 = 12 u |
5 x 4 = 20 u |
Before |
4 x 3 = 12 u |
|
Change |
1 x 3 = - 3 u |
+ 3 u |
After |
3 x 3 = 9 u |
23 u |
(a)
Change ratio into units.
The amount that Bryan has at first is repeated.
Amount that Bryan has at first = 12 u
Amount that Adam has at first = 20 u
Difference in the amount between Bryan and Adam at first
= 20 u - 12 u
= 8 u
(b)
Amount that Adam has in the end
= 20 u + 3 u
= 23 u
(c)
Total amount that they have
= 12 u + 20 u
= 32 u
(d)
Difference in the amount that they have in the end
= 23 u - 9 u
= 14 u
14 u = 56
1 u = 56 ÷ 14 = 4
Answer(s): (a) 8; (b) 23; (c) 32; (d) 4