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 5 : 8.
After Bryan gives
56 of his money to Adam,
Adam has $68 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 |
5 x 6 = 30 u |
8 x 6 = 48 u |
Before |
6 x 5 = 30 u |
|
Change |
5 x 5 = - 25 u |
+ 25 u |
After |
1 x 5 = 5 u |
73 u |
(a)
Change ratio into units.
The amount that Bryan has at first is repeated.
Amount that Bryan has at first = 30 u
Amount that Adam has at first = 48 u
Difference in the amount between Bryan and Adam at first
= 48 u - 30 u
= 18 u
(b)
Amount that Adam has in the end
= 48 u + 25 u
= 73 u
(c)
Total amount that they have
= 30 u + 48 u
= 78 u
(d)
Difference in the amount that they have in the end
= 73 u - 5 u
= 68 u
68 u = 68
1 u = 68 ÷ 68 = 1
Answer(s): (a) 18; (b) 73; (c) 78; (d) 1