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 : 3.
After Bryan gives
59 of his money to Adam,
Adam has $58 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 9 = 18 u |
3 x 9 = 27 u |
Before |
9 x 2 = 18 u |
|
Change |
5 x 2 = - 10 u |
+ 10 u |
After |
4 x 2 = 8 u |
37 u |
(a)
Change ratio into units.
The amount that Bryan has at first is repeated.
Amount that Bryan has at first = 18 u
Amount that Adam has at first = 27 u
Difference in the amount between Bryan and Adam at first
= 27 u - 18 u
= 9 u
(b)
Amount that Adam has in the end
= 27 u + 10 u
= 37 u
(c)
Total amount that they have
= 18 u + 27 u
= 45 u
(d)
Difference in the amount that they have in the end
= 37 u - 8 u
= 29 u
29 u = 58
1 u = 58 ÷ 29 = 2
Answer(s): (a) 9; (b) 37; (c) 45; (d) 2