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 3 : 10.
After Adam gives
12 of his money to Bryan,
Bryan has $40 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 |
3 x 2 = 6 u |
10 x 2 = 20 u |
Before |
2 x 3 = 6 u |
|
Change |
1 x 3 = - 3 u |
+ 3 u |
After |
1 x 3 = 3 u |
23 u |
(a)
Change ratio into units.
The amount that Adam has at first is repeated.
Amount that Adam has at first = 6 u
Amount that Bryan has at first = 20 u
Difference in the amount between Adam and Bryan at first
= 20 u - 6 u
= 14 u
(b)
Amount that Bryan has in the end
= 20 u + 3 u
= 23 u
(c)
Total amount that they have
= 6 u + 20 u
= 26 u
(d)
Difference in the amount that they have in the end
= 23 u - 3 u
= 20 u
20 u = 40
1 u = 40 ÷ 20 = 2
Answer(s): (a) 14; (b) 23; (c) 26; (d) 2