Change ratio into units.
Fill in the blanks in numbers, units or unit equations.
Bryan and Adam share a sum of money in the ratio 2 : 9.
After Bryan gives
13 of his money to Adam,
Adam has $75 more than Bryan.
- Difference in the amount between Bryan and Adam at first = _____ u
- Amount that Adam has in the end = _____ u
- Total amount that they have = _____ u
- 1 u = $_____
|
Bryan |
Adam |
Comparing between Bryan and Adam at first |
2 x 3 = 6 u |
9 x 3 = 27 u |
Before |
3 x 2 = 6 u |
|
Change |
1 x 2 = - 2 u |
+ 2 u |
After |
2 x 2 = 4 u |
29 u |
(a)
Change ratio into units.
The amount that Bryan has at first is repeated.
Amount that Bryan has at first = 6 u
Amount that Adam has at first = 27 u
Difference in the amount between Bryan and Adam at first
= 27 u - 6 u
= 21 u
(b)
Amount that Adam has in the end
= 27 u + 2 u
= 29 u
(c)
Total amount that they have
= 6 u + 27 u
= 33 u
(d)
Difference in the amount that they have in the end
= 29 u - 4 u
= 25 u
25 u = 75
1 u = 75 ÷ 25 = 3
Answer(s): (a) 21; (b) 29; (c) 33; (d) 3