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 7 : 10.
After Bryan gives
34 of his money to Adam,
Adam has $54 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 |
7 x 4 = 28 u |
10 x 4 = 40 u |
Before |
4 x 7 = 28 u |
|
Change |
3 x 7 = - 21 u |
+ 21 u |
After |
1 x 7 = 7 u |
61 u |
(a)
Change ratio into units.
The amount that Bryan has at first is repeated.
Amount that Bryan has at first = 28 u
Amount that Adam has at first = 40 u
Difference in the amount between Bryan and Adam at first
= 40 u - 28 u
= 12 u
(b)
Amount that Adam has in the end
= 40 u + 21 u
= 61 u
(c)
Total amount that they have
= 28 u + 40 u
= 68 u
(d)
Difference in the amount that they have in the end
= 61 u - 7 u
= 54 u
54 u = 54
1 u = 54 ÷ 54 = 1
Answer(s): (a) 12; (b) 61; (c) 68; (d) 1