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 6 : 7.
After Bryan gives
14 of his money to Adam,
Adam has $24 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 |
6 x 2 = 12 u |
7 x 2 = 14 u |
Before |
4 x 3 = 12 u |
|
Change |
1 x 3 = - 3 u |
+ 3 u |
After |
3 x 3 = 9 u |
17 u |
(a)
Change ratio into units.
The amount that Bryan has at first is repeated.
Amount that Bryan has at first = 12 u
Amount that Adam has at first = 14 u
Difference in the amount between Bryan and Adam at first
= 14 u - 12 u
= 2 u
(b)
Amount that Adam has in the end
= 14 u + 3 u
= 17 u
(c)
Total amount that they have
= 12 u + 14 u
= 26 u
(d)
Difference in the amount that they have in the end
= 17 u - 9 u
= 8 u
8 u = 24
1 u = 24 ÷ 8 = 3
Answer(s): (a) 2; (b) 17; (c) 26; (d) 3