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 5 : 9.
After Adam gives
27 of his money to Bryan,
Bryan has $48 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 |
5 x 7 = 35 u |
9 x 7 = 63 u |
Before |
7 x 5 = 35 u |
|
Change |
2 x 5 = - 10 u |
+ 10 u |
After |
5 x 5 = 25 u |
73 u |
(a)
Change ratio into units.
The amount that Adam has at first is repeated.
Amount that Adam has at first = 35 u
Amount that Bryan has at first = 63 u
Difference in the amount between Adam and Bryan at first
= 63 u - 35 u
= 28 u
(b)
Amount that Bryan has in the end
= 63 u + 10 u
= 73 u
(c)
Total amount that they have
= 35 u + 63 u
= 98 u
(d)
Difference in the amount that they have in the end
= 73 u - 25 u
= 48 u
48 u = 48
1 u = 48 ÷ 48 = 1
Answer(s): (a) 28; (b) 73; (c) 98; (d) 1