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
13 of his money to Adam,
Adam has $46 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 3 = 21 u |
10 x 3 = 30 u |
Before |
3 x 7 = 21 u |
|
Change |
1 x 7 = - 7 u |
+ 7 u |
After |
2 x 7 = 14 u |
37 u |
(a)
Change ratio into units.
The amount that Bryan has at first is repeated.
Amount that Bryan has at first = 21 u
Amount that Adam has at first = 30 u
Difference in the amount between Bryan and Adam at first
= 30 u - 21 u
= 9 u
(b)
Amount that Adam has in the end
= 30 u + 7 u
= 37 u
(c)
Total amount that they have
= 21 u + 30 u
= 51 u
(d)
Difference in the amount that they have in the end
= 37 u - 14 u
= 23 u
23 u = 46
1 u = 46 ÷ 23 = 2
Answer(s): (a) 9; (b) 37; (c) 51; (d) 2