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 4 : 5.
After Bryan gives
59 of his money to Adam,
Adam has $49 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 |
4 x 9 = 36 u |
5 x 9 = 45 u |
Before |
9 x 4 = 36 u |
|
Change |
5 x 4 = - 20 u |
+ 20 u |
After |
4 x 4 = 16 u |
65 u |
(a)
Change ratio into units.
The amount that Bryan has at first is repeated.
Amount that Bryan has at first = 36 u
Amount that Adam has at first = 45 u
Difference in the amount between Bryan and Adam at first
= 45 u - 36 u
= 9 u
(b)
Amount that Adam has in the end
= 45 u + 20 u
= 65 u
(c)
Total amount that they have
= 36 u + 45 u
= 81 u
(d)
Difference in the amount that they have in the end
= 65 u - 16 u
= 49 u
49 u = 49
1 u = 49 ÷ 49 = 1
Answer(s): (a) 9; (b) 65; (c) 81; (d) 1