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
27 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 7 = 21 u |
4 x 7 = 28 u |
Before |
7 x 3 = 21 u |
|
Change |
2 x 3 = - 6 u |
+ 6 u |
After |
5 x 3 = 15 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 = 28 u
Difference in the amount between Adam and Bryan at first
= 28 u - 21 u
= 7 u
(b)
Amount that Bryan has in the end
= 28 u + 6 u
= 34 u
(c)
Total amount that they have
= 21 u + 28 u
= 49 u
(d)
Difference in the amount that they have in the end
= 34 u - 15 u
= 19 u
19 u = 76
1 u = 76 ÷ 19 = 4
Answer(s): (a) 7; (b) 34; (c) 49; (d) 4