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 3 : 5.
After Bryan gives
57 of his money to Adam,
Adam has $88 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 |
3 x 7 = 21 u |
5 x 7 = 35 u |
Before |
7 x 3 = 21 u |
|
Change |
5 x 3 = - 15 u |
+ 15 u |
After |
2 x 3 = 6 u |
50 u |
(a)
Change ratio into units.
The amount that Bryan has at first is repeated.
Amount that Bryan has at first = 21 u
Amount that Adam has at first = 35 u
Difference in the amount between Bryan and Adam at first
= 35 u - 21 u
= 14 u
(b)
Amount that Adam has in the end
= 35 u + 15 u
= 50 u
(c)
Total amount that they have
= 21 u + 35 u
= 56 u
(d)
Difference in the amount that they have in the end
= 50 u - 6 u
= 44 u
44 u = 88
1 u = 88 ÷ 44 = 2
Answer(s): (a) 14; (b) 50; (c) 56; (d) 2