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 : 5.
After Adam gives
37 of his money to Bryan,
Bryan has $62 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 |
5 x 7 = 35 u |
Before |
7 x 4 = 28 u |
|
Change |
3 x 4 = - 12 u |
+ 12 u |
After |
4 x 4 = 16 u |
47 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 = 35 u
Difference in the amount between Adam and Bryan at first
= 35 u - 28 u
= 7 u
(b)
Amount that Bryan has in the end
= 35 u + 12 u
= 47 u
(c)
Total amount that they have
= 28 u + 35 u
= 63 u
(d)
Difference in the amount that they have in the end
= 47 u - 16 u
= 31 u
31 u = 62
1 u = 62 ÷ 31 = 2
Answer(s): (a) 7; (b) 47; (c) 63; (d) 2