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
38 of his money to Adam,
Adam has $44 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 4 = 24 u |
7 x 4 = 28 u |
Before |
8 x 3 = 24 u |
|
Change |
3 x 3 = - 9 u |
+ 9 u |
After |
5 x 3 = 15 u |
37 u |
(a)
Change ratio into units.
The amount that Bryan has at first is repeated.
Amount that Bryan has at first = 24 u
Amount that Adam has at first = 28 u
Difference in the amount between Bryan and Adam at first
= 28 u - 24 u
= 4 u
(b)
Amount that Adam has in the end
= 28 u + 9 u
= 37 u
(c)
Total amount that they have
= 24 u + 28 u
= 52 u
(d)
Difference in the amount that they have in the end
= 37 u - 15 u
= 22 u
22 u = 44
1 u = 44 ÷ 22 = 2
Answer(s): (a) 4; (b) 37; (c) 52; (d) 2