Change ratio into units.
Fill in the blanks in numbers, units or unit equations.
Adam and Bryan share a sum of money in the ratio 4 : 5.
After Adam gives
45 of his money to Bryan,
Bryan has $37 more than Adam.
- Difference in the amount between Adam and Bryan at first = _____ u
- Amount that Bryan has in the end = _____ u
- Total amount that they have = _____ u
- 1 u = $_____
|
Adam |
Bryan |
Comparing between Adam and Bryan at first |
4 x 5 = 20 u |
5 x 5 = 25 u |
Before |
5 x 4 = 20 u |
|
Change |
4 x 4 = - 16 u |
+ 16 u |
After |
1 x 4 = 4 u |
41 u |
(a)
Change ratio into units.
The amount that Adam has at first is repeated.
Amount that Adam has at first = 20 u
Amount that Bryan has at first = 25 u
Difference in the amount between Adam and Bryan at first
= 25 u - 20 u
= 5 u
(b)
Amount that Bryan has in the end
= 25 u + 16 u
= 41 u
(c)
Total amount that they have
= 20 u + 25 u
= 45 u
(d)
Difference in the amount that they have in the end
= 41 u - 4 u
= 37 u
37 u = 37
1 u = 37 ÷ 37 = 1
Answer(s): (a) 5; (b) 41; (c) 45; (d) 1