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 : 7.
After Bryan gives
45 of his money to Adam,
Adam has $47 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 5 = 20 u |
7 x 5 = 35 u |
Before |
5 x 4 = 20 u |
|
Change |
4 x 4 = - 16 u |
+ 16 u |
After |
1 x 4 = 4 u |
51 u |
(a)
Change ratio into units.
The amount that Bryan has at first is repeated.
Amount that Bryan has at first = 20 u
Amount that Adam has at first = 35 u
Difference in the amount between Bryan and Adam at first
= 35 u - 20 u
= 15 u
(b)
Amount that Adam has in the end
= 35 u + 16 u
= 51 u
(c)
Total amount that they have
= 20 u + 35 u
= 55 u
(d)
Difference in the amount that they have in the end
= 51 u - 4 u
= 47 u
47 u = 47
1 u = 47 ÷ 47 = 1
Answer(s): (a) 15; (b) 51; (c) 55; (d) 1