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
49 of his money to Bryan,
Bryan has $41 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 9 = 36 u |
5 x 9 = 45 u |
Before |
9 x 4 = 36 u |
|
Change |
4 x 4 = - 16 u |
+ 16 u |
After |
5 x 4 = 20 u |
61 u |
(a)
Change ratio into units.
The amount that Adam has at first is repeated.
Amount that Adam has at first = 36 u
Amount that Bryan has at first = 45 u
Difference in the amount between Adam and Bryan at first
= 45 u - 36 u
= 9 u
(b)
Amount that Bryan has in the end
= 45 u + 16 u
= 61 u
(c)
Total amount that they have
= 36 u + 45 u
= 81 u
(d)
Difference in the amount that they have in the end
= 61 u - 20 u
= 41 u
41 u = 41
1 u = 41 ÷ 41 = 1
Answer(s): (a) 9; (b) 61; (c) 81; (d) 1