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 4 : 7.
After Adam gives
27 of his money to Bryan,
Bryan has $37 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 |
4 x 7 = 28 u |
7 x 7 = 49 u |
Before |
7 x 4 = 28 u |
|
Change |
2 x 4 = - 8 u |
+ 8 u |
After |
5 x 4 = 20 u |
57 u |
(a)
Change ratio into units.
The amount that Adam has at first is repeated.
Amount that Adam has at first = 28 u
Amount that Bryan has at first = 49 u
Difference in the amount between Adam and Bryan at first
= 49 u - 28 u
= 21 u
(b)
Amount that Bryan has in the end
= 49 u + 8 u
= 57 u
(c)
Total amount that they have
= 28 u + 49 u
= 77 u
(d)
Difference in the amount that they have in the end
= 57 u - 20 u
= 37 u
37 u = 37
1 u = 37 ÷ 37 = 1
Answer(s): (a) 21; (b) 57; (c) 77; (d) 1