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
45 of his money to Bryan,
Bryan has $84 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 5 = 10 u |
3 x 5 = 15 u |
Before |
5 x 2 = 10 u |
|
Change |
4 x 2 = - 8 u |
+ 8 u |
After |
1 x 2 = 2 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 = 15 u
Difference in the amount between Adam and Bryan at first
= 15 u - 10 u
= 5 u
(b)
Amount that Bryan has in the end
= 15 u + 8 u
= 23 u
(c)
Total amount that they have
= 10 u + 15 u
= 25 u
(d)
Difference in the amount that they have in the end
= 23 u - 2 u
= 21 u
21 u = 84
1 u = 84 ÷ 21 = 4
Answer(s): (a) 5; (b) 23; (c) 25; (d) 4