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 2 : 3.
After Adam gives
13 of his money to Bryan,
Bryan has $42 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 |
2 x 3 = 6 u |
3 x 3 = 9 u |
Before |
3 x 2 = 6 u |
|
Change |
1 x 2 = - 2 u |
+ 2 u |
After |
2 x 2 = 4 u |
11 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 = 9 u
Difference in the amount between Adam and Bryan at first
= 9 u - 6 u
= 3 u
(b)
Amount that Bryan has in the end
= 9 u + 2 u
= 11 u
(c)
Total amount that they have
= 6 u + 9 u
= 15 u
(d)
Difference in the amount that they have in the end
= 11 u - 4 u
= 7 u
7 u = 42
1 u = 42 ÷ 7 = 6
Answer(s): (a) 3; (b) 11; (c) 15; (d) 6