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 5 : 7.
After Adam gives
57 of his money to Bryan,
Bryan has $64 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 |
5 x 7 = 35 u |
7 x 7 = 49 u |
Before |
7 x 5 = 35 u |
|
Change |
5 x 5 = - 25 u |
+ 25 u |
After |
2 x 5 = 10 u |
74 u |
(a)
Change ratio into units.
The amount that Adam has at first is repeated.
Amount that Adam has at first = 35 u
Amount that Bryan has at first = 49 u
Difference in the amount between Adam and Bryan at first
= 49 u - 35 u
= 14 u
(b)
Amount that Bryan has in the end
= 49 u + 25 u
= 74 u
(c)
Total amount that they have
= 35 u + 49 u
= 84 u
(d)
Difference in the amount that they have in the end
= 74 u - 10 u
= 64 u
64 u = 64
1 u = 64 ÷ 64 = 1
Answer(s): (a) 14; (b) 74; (c) 84; (d) 1