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 : 10.
After Adam gives
14 of his money to Bryan,
Bryan has $52 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 4 = 28 u |
10 x 4 = 40 u |
Before |
4 x 7 = 28 u |
|
Change |
1 x 7 = - 7 u |
+ 7 u |
After |
3 x 7 = 21 u |
47 u |
(a)
Change ratio into units.
The amount that Adam has at first is repeated.
Amount that Adam has at first = 28 u
Amount that Bryan has at first = 40 u
Difference in the amount between Adam and Bryan at first
= 40 u - 28 u
= 12 u
(b)
Amount that Bryan has in the end
= 40 u + 7 u
= 47 u
(c)
Total amount that they have
= 28 u + 40 u
= 68 u
(d)
Difference in the amount that they have in the end
= 47 u - 21 u
= 26 u
26 u = 52
1 u = 52 ÷ 26 = 2
Answer(s): (a) 12; (b) 47; (c) 68; (d) 2