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 : 7.
After Adam gives
12 of his money to Bryan,
Bryan has $84 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 2 = 6 u |
7 x 2 = 14 u |
Before |
2 x 3 = 6 u |
|
Change |
1 x 3 = - 3 u |
+ 3 u |
After |
1 x 3 = 3 u |
17 u |
(a)
Change ratio into units.
The amount that Adam has at first is repeated.
Amount that Adam has at first = 6 u
Amount that Bryan has at first = 14 u
Difference in the amount between Adam and Bryan at first
= 14 u - 6 u
= 8 u
(b)
Amount that Bryan has in the end
= 14 u + 3 u
= 17 u
(c)
Total amount that they have
= 6 u + 14 u
= 20 u
(d)
Difference in the amount that they have in the end
= 17 u - 3 u
= 14 u
14 u = 84
1 u = 84 ÷ 14 = 6
Answer(s): (a) 8; (b) 17; (c) 20; (d) 6