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 3 : 4.
After Adam gives
310 of his money to Bryan,
Bryan has $56 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 |
3 x 10 = 30 u |
4 x 10 = 40 u |
Before |
10 x 3 = 30 u |
|
Change |
3 x 3 = - 9 u |
+ 9 u |
After |
7 x 3 = 21 u |
49 u |
(a)
Change ratio into units.
The amount that Adam has at first is repeated.
Amount that Adam has at first = 30 u
Amount that Bryan has at first = 40 u
Difference in the amount between Adam and Bryan at first
= 40 u - 30 u
= 10 u
(b)
Amount that Bryan has in the end
= 40 u + 9 u
= 49 u
(c)
Total amount that they have
= 30 u + 40 u
= 70 u
(d)
Difference in the amount that they have in the end
= 49 u - 21 u
= 28 u
28 u = 56
1 u = 56 ÷ 28 = 2
Answer(s): (a) 10; (b) 49; (c) 70; (d) 2