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
35 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 5 = 15 u |
5 x 5 = 25 u |
Before |
5 x 3 = 15 u |
|
Change |
3 x 3 = - 9 u |
+ 9 u |
After |
2 x 3 = 6 u |
34 u |
(a)
Change ratio into units.
The amount that Bryan has at first is repeated.
Amount that Bryan has at first = 15 u
Amount that Adam has at first = 25 u
Difference in the amount between Bryan and Adam at first
= 25 u - 15 u
= 10 u
(b)
Amount that Adam has in the end
= 25 u + 9 u
= 34 u
(c)
Total amount that they have
= 15 u + 25 u
= 40 u
(d)
Difference in the amount that they have in the end
= 34 u - 6 u
= 28 u
28 u = 56
1 u = 56 ÷ 28 = 2
Answer(s): (a) 10; (b) 34; (c) 40; (d) 2