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 6 : 7.
After Adam gives
34 of his money to Bryan,
Bryan has $20 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 |
6 x 2 = 12 u |
7 x 2 = 14 u |
Before |
4 x 3 = 12 u |
|
Change |
3 x 3 = - 9 u |
+ 9 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 = 12 u
Amount that Bryan has at first = 14 u
Difference in the amount between Adam and Bryan at first
= 14 u - 12 u
= 2 u
(b)
Amount that Bryan has in the end
= 14 u + 9 u
= 23 u
(c)
Total amount that they have
= 12 u + 14 u
= 26 u
(d)
Difference in the amount that they have in the end
= 23 u - 3 u
= 20 u
20 u = 20
1 u = 20 ÷ 20 = 1
Answer(s): (a) 2; (b) 23; (c) 26; (d) 1