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 : 6.
After Bryan gives
12 of his money to Adam,
Adam has $60 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 2 = 10 u |
6 x 2 = 12 u |
Before |
2 x 5 = 10 u |
|
Change |
1 x 5 = - 5 u |
+ 5 u |
After |
1 x 5 = 5 u |
17 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 = 12 u
Difference in the amount between Bryan and Adam at first
= 12 u - 10 u
= 2 u
(b)
Amount that Adam has in the end
= 12 u + 5 u
= 17 u
(c)
Total amount that they have
= 10 u + 12 u
= 22 u
(d)
Difference in the amount that they have in the end
= 17 u - 5 u
= 12 u
12 u = 60
1 u = 60 ÷ 12 = 5
Answer(s): (a) 2; (b) 17; (c) 22; (d) 5