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 9 : 10.
After Bryan gives
25 of his money to Adam,
Adam has $41 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 |
9 x 5 = 45 u |
10 x 5 = 50 u |
Before |
5 x 9 = 45 u |
|
Change |
2 x 9 = - 18 u |
+ 18 u |
After |
3 x 9 = 27 u |
68 u |
(a)
Change ratio into units.
The amount that Bryan has at first is repeated.
Amount that Bryan has at first = 45 u
Amount that Adam has at first = 50 u
Difference in the amount between Bryan and Adam at first
= 50 u - 45 u
= 5 u
(b)
Amount that Adam has in the end
= 50 u + 18 u
= 68 u
(c)
Total amount that they have
= 45 u + 50 u
= 95 u
(d)
Difference in the amount that they have in the end
= 68 u - 27 u
= 41 u
41 u = 41
1 u = 41 ÷ 41 = 1
Answer(s): (a) 5; (b) 68; (c) 95; (d) 1