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 2 : 3.
After Bryan gives
35 of his money to Adam,
Adam has $17 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 |
2 x 5 = 10 u |
3 x 5 = 15 u |
Before |
5 x 2 = 10 u |
|
Change |
3 x 2 = - 6 u |
+ 6 u |
After |
2 x 2 = 4 u |
21 u |
(a)
Change ratio into units.
The amount that Bryan has at first is repeated.
Amount that Bryan has at first = 10 u
Amount that Adam has at first = 15 u
Difference in the amount between Bryan and Adam at first
= 15 u - 10 u
= 5 u
(b)
Amount that Adam has in the end
= 15 u + 6 u
= 21 u
(c)
Total amount that they have
= 10 u + 15 u
= 25 u
(d)
Difference in the amount that they have in the end
= 21 u - 4 u
= 17 u
17 u = 17
1 u = 17 ÷ 17 = 1
Answer(s): (a) 5; (b) 21; (c) 25; (d) 1