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 7 : 9.
After Adam gives
13 of his money to Bryan,
Bryan has $20 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 |
7 x 3 = 21 u |
9 x 3 = 27 u |
Before |
3 x 7 = 21 u |
|
Change |
1 x 7 = - 7 u |
+ 7 u |
After |
2 x 7 = 14 u |
34 u |
(a)
Change ratio into units.
The amount that Adam has at first is repeated.
Amount that Adam has at first = 21 u
Amount that Bryan has at first = 27 u
Difference in the amount between Adam and Bryan at first
= 27 u - 21 u
= 6 u
(b)
Amount that Bryan has in the end
= 27 u + 7 u
= 34 u
(c)
Total amount that they have
= 21 u + 27 u
= 48 u
(d)
Difference in the amount that they have in the end
= 34 u - 14 u
= 20 u
20 u = 20
1 u = 20 ÷ 20 = 1
Answer(s): (a) 6; (b) 34; (c) 48; (d) 1