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 : 5.
After Adam gives
310 of his money to Bryan,
Bryan has $76 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 |
5 x 10 = 50 u |
Before |
10 x 3 = 30 u |
|
Change |
3 x 3 = - 9 u |
+ 9 u |
After |
7 x 3 = 21 u |
59 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 = 50 u
Difference in the amount between Adam and Bryan at first
= 50 u - 30 u
= 20 u
(b)
Amount that Bryan has in the end
= 50 u + 9 u
= 59 u
(c)
Total amount that they have
= 30 u + 50 u
= 80 u
(d)
Difference in the amount that they have in the end
= 59 u - 21 u
= 38 u
38 u = 76
1 u = 76 ÷ 38 = 2
Answer(s): (a) 20; (b) 59; (c) 80; (d) 2