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 : 7.
After Adam gives
23 of his money to Bryan,
Bryan has $75 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 3 = 12 u |
7 x 3 = 21 u |
Before |
3 x 4 = 12 u |
|
Change |
2 x 4 = - 8 u |
+ 8 u |
After |
1 x 4 = 4 u |
29 u |
(a)
Change ratio into units.
The amount that Adam has at first is repeated.
Amount that Adam has at first = 12 u
Amount that Bryan has at first = 21 u
Difference in the amount between Adam and Bryan at first
= 21 u - 12 u
= 9 u
(b)
Amount that Bryan has in the end
= 21 u + 8 u
= 29 u
(c)
Total amount that they have
= 12 u + 21 u
= 33 u
(d)
Difference in the amount that they have in the end
= 29 u - 4 u
= 25 u
25 u = 75
1 u = 75 ÷ 25 = 3
Answer(s): (a) 9; (b) 29; (c) 33; (d) 3