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 2 : 9.
After Adam gives
35 of his money to Bryan,
Bryan has $47 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 |
2 x 5 = 10 u |
9 x 5 = 45 u |
Before |
5 x 2 = 10 u |
|
Change |
3 x 2 = - 6 u |
+ 6 u |
After |
2 x 2 = 4 u |
51 u |
(a)
Change ratio into units.
The amount that Adam has at first is repeated.
Amount that Adam has at first = 10 u
Amount that Bryan has at first = 45 u
Difference in the amount between Adam and Bryan at first
= 45 u - 10 u
= 35 u
(b)
Amount that Bryan has in the end
= 45 u + 6 u
= 51 u
(c)
Total amount that they have
= 10 u + 45 u
= 55 u
(d)
Difference in the amount that they have in the end
= 51 u - 4 u
= 47 u
47 u = 47
1 u = 47 ÷ 47 = 1
Answer(s): (a) 35; (b) 51; (c) 55; (d) 1