Change ratio into units.
Fill in the blanks in numbers, units or unit equations.
Bryan and Adam share a sum of money in the ratio 5 : 8.
After Bryan gives
57 of his money to Adam,
Adam has $71 more than Bryan.
- Difference in the amount between Bryan and Adam at first = _____ u
- Amount that Adam has in the end = _____ u
- Total amount that they have = _____ u
- 1 u = $_____
|
Bryan |
Adam |
Comparing between Bryan and Adam at first |
5 x 7 = 35 u |
8 x 7 = 56 u |
Before |
7 x 5 = 35 u |
|
Change |
5 x 5 = - 25 u |
+ 25 u |
After |
2 x 5 = 10 u |
81 u |
(a)
Change ratio into units.
The amount that Bryan has at first is repeated.
Amount that Bryan has at first = 35 u
Amount that Adam has at first = 56 u
Difference in the amount between Bryan and Adam at first
= 56 u - 35 u
= 21 u
(b)
Amount that Adam has in the end
= 56 u + 25 u
= 81 u
(c)
Total amount that they have
= 35 u + 56 u
= 91 u
(d)
Difference in the amount that they have in the end
= 81 u - 10 u
= 71 u
71 u = 71
1 u = 71 ÷ 71 = 1
Answer(s): (a) 21; (b) 81; (c) 91; (d) 1