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 4 : 5.
After Bryan gives
310 of his money to Adam,
Adam has $51 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 |
4 x 5 = 20 u |
5 x 5 = 25 u |
Before |
10 x 2 = 20 u |
|
Change |
3 x 2 = - 6 u |
+ 6 u |
After |
7 x 2 = 14 u |
31 u |
(a)
Change ratio into units.
The amount that Bryan has at first is repeated.
Amount that Bryan has at first = 20 u
Amount that Adam has at first = 25 u
Difference in the amount between Bryan and Adam at first
= 25 u - 20 u
= 5 u
(b)
Amount that Adam has in the end
= 25 u + 6 u
= 31 u
(c)
Total amount that they have
= 20 u + 25 u
= 45 u
(d)
Difference in the amount that they have in the end
= 31 u - 14 u
= 17 u
17 u = 51
1 u = 51 ÷ 17 = 3
Answer(s): (a) 5; (b) 31; (c) 45; (d) 3