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 : 9.
After Bryan gives
23 of his money to Adam,
Adam has $64 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 3 = 15 u |
9 x 3 = 27 u |
Before |
3 x 5 = 15 u |
|
Change |
2 x 5 = - 10 u |
+ 10 u |
After |
1 x 5 = 5 u |
37 u |
(a)
Change ratio into units.
The amount that Bryan has at first is repeated.
Amount that Bryan has at first = 15 u
Amount that Adam has at first = 27 u
Difference in the amount between Bryan and Adam at first
= 27 u - 15 u
= 12 u
(b)
Amount that Adam has in the end
= 27 u + 10 u
= 37 u
(c)
Total amount that they have
= 15 u + 27 u
= 42 u
(d)
Difference in the amount that they have in the end
= 37 u - 5 u
= 32 u
32 u = 64
1 u = 64 ÷ 32 = 2
Answer(s): (a) 12; (b) 37; (c) 42; (d) 2