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
12 of his money to Bryan,
Bryan has $72 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 2 = 10 u |
9 x 2 = 18 u |
Before |
2 x 5 = 10 u |
|
Change |
1 x 5 = - 5 u |
+ 5 u |
After |
1 x 5 = 5 u |
23 u |
(a)
Change ratio into units.
The amount that Adam has at first is repeated.
Amount that Adam has at first = 10 u
Amount that Bryan has at first = 18 u
Difference in the amount between Adam and Bryan at first
= 18 u - 10 u
= 8 u
(b)
Amount that Bryan has in the end
= 18 u + 5 u
= 23 u
(c)
Total amount that they have
= 10 u + 18 u
= 28 u
(d)
Difference in the amount that they have in the end
= 23 u - 5 u
= 18 u
18 u = 72
1 u = 72 ÷ 18 = 4
Answer(s): (a) 8; (b) 23; (c) 28; (d) 4