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 : 7.
After Bryan gives
34 of his money to Adam,
Adam has $38 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 4 = 20 u |
7 x 4 = 28 u |
Before |
4 x 5 = 20 u |
|
Change |
3 x 5 = - 15 u |
+ 15 u |
After |
1 x 5 = 5 u |
43 u |
(a)
Change ratio into units.
The amount that Bryan has at first is repeated.
Amount that Bryan has at first = 20 u
Amount that Adam has at first = 28 u
Difference in the amount between Bryan and Adam at first
= 28 u - 20 u
= 8 u
(b)
Amount that Adam has in the end
= 28 u + 15 u
= 43 u
(c)
Total amount that they have
= 20 u + 28 u
= 48 u
(d)
Difference in the amount that they have in the end
= 43 u - 5 u
= 38 u
38 u = 38
1 u = 38 ÷ 38 = 1
Answer(s): (a) 8; (b) 43; (c) 48; (d) 1