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 3 : 4.
After Bryan gives
78 of his money to Adam,
Adam has $50 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 |
3 x 8 = 24 u |
4 x 8 = 32 u |
Before |
8 x 3 = 24 u |
|
Change |
7 x 3 = - 21 u |
+ 21 u |
After |
1 x 3 = 3 u |
53 u |
(a)
Change ratio into units.
The amount that Bryan has at first is repeated.
Amount that Bryan has at first = 24 u
Amount that Adam has at first = 32 u
Difference in the amount between Bryan and Adam at first
= 32 u - 24 u
= 8 u
(b)
Amount that Adam has in the end
= 32 u + 21 u
= 53 u
(c)
Total amount that they have
= 24 u + 32 u
= 56 u
(d)
Difference in the amount that they have in the end
= 53 u - 3 u
= 50 u
50 u = 50
1 u = 50 ÷ 50 = 1
Answer(s): (a) 8; (b) 53; (c) 56; (d) 1