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 : 6.
After Adam gives
27 of his money to Bryan,
Bryan has $54 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 |
6 x 7 = 42 u |
Before |
7 x 5 = 35 u |
|
Change |
2 x 5 = - 10 u |
+ 10 u |
After |
5 x 5 = 25 u |
52 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 = 42 u
Difference in the amount between Adam and Bryan at first
= 42 u - 35 u
= 7 u
(b)
Amount that Bryan has in the end
= 42 u + 10 u
= 52 u
(c)
Total amount that they have
= 35 u + 42 u
= 77 u
(d)
Difference in the amount that they have in the end
= 52 u - 25 u
= 27 u
27 u = 54
1 u = 54 ÷ 27 = 2
Answer(s): (a) 7; (b) 52; (c) 77; (d) 2