Change ratio into units.
Fill in the blanks in numbers, units or unit equations.
Adam and Bryan share a sum of money in the ratio 9 : 10.
After Adam gives
56 of his money to Bryan,
Bryan has $32 more than Adam.
- Difference in the amount between Adam and Bryan at first = _____ u
- Amount that Bryan has in the end = _____ u
- Total amount that they have = _____ u
- 1 u = $_____
|
Adam |
Bryan |
Comparing between Adam and Bryan at first |
9 x 2 = 18 u |
10 x 2 = 20 u |
Before |
6 x 3 = 18 u |
|
Change |
5 x 3 = - 15 u |
+ 15 u |
After |
1 x 3 = 3 u |
35 u |
(a)
Change ratio into units.
The amount that Adam has at first is repeated.
Amount that Adam has at first = 18 u
Amount that Bryan has at first = 20 u
Difference in the amount between Adam and Bryan at first
= 20 u - 18 u
= 2 u
(b)
Amount that Bryan has in the end
= 20 u + 15 u
= 35 u
(c)
Total amount that they have
= 18 u + 20 u
= 38 u
(d)
Difference in the amount that they have in the end
= 35 u - 3 u
= 32 u
32 u = 32
1 u = 32 ÷ 32 = 1
Answer(s): (a) 2; (b) 35; (c) 38; (d) 1