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 8 : 9.
After Adam gives
47 of his money to Bryan,
Bryan has $71 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 |
8 x 7 = 56 u |
9 x 7 = 63 u |
Before |
7 x 8 = 56 u |
|
Change |
4 x 8 = - 32 u |
+ 32 u |
After |
3 x 8 = 24 u |
95 u |
(a)
Change ratio into units.
The amount that Adam has at first is repeated.
Amount that Adam has at first = 56 u
Amount that Bryan has at first = 63 u
Difference in the amount between Adam and Bryan at first
= 63 u - 56 u
= 7 u
(b)
Amount that Bryan has in the end
= 63 u + 32 u
= 95 u
(c)
Total amount that they have
= 56 u + 63 u
= 119 u
(d)
Difference in the amount that they have in the end
= 95 u - 24 u
= 71 u
71 u = 71
1 u = 71 ÷ 71 = 1
Answer(s): (a) 7; (b) 95; (c) 119; (d) 1