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 6 : 7.
After Bryan gives
89 of his money to Adam,
Adam has $70 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 |
6 x 3 = 18 u |
7 x 3 = 21 u |
Before |
9 x 2 = 18 u |
|
Change |
8 x 2 = - 16 u |
+ 16 u |
After |
1 x 2 = 2 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 = 21 u
Difference in the amount between Bryan and Adam at first
= 21 u - 18 u
= 3 u
(b)
Amount that Adam has in the end
= 21 u + 16 u
= 37 u
(c)
Total amount that they have
= 18 u + 21 u
= 39 u
(d)
Difference in the amount that they have in the end
= 37 u - 2 u
= 35 u
35 u = 70
1 u = 70 ÷ 35 = 2
Answer(s): (a) 3; (b) 37; (c) 39; (d) 2