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 : 10.
After Bryan gives
57 of his money to Adam,
Adam has $79 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 |
10 x 7 = 70 u |
Before |
7 x 3 = 21 u |
|
Change |
5 x 3 = - 15 u |
+ 15 u |
After |
2 x 3 = 6 u |
85 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 = 70 u
Difference in the amount between Bryan and Adam at first
= 70 u - 21 u
= 49 u
(b)
Amount that Adam has in the end
= 70 u + 15 u
= 85 u
(c)
Total amount that they have
= 21 u + 70 u
= 91 u
(d)
Difference in the amount that they have in the end
= 85 u - 6 u
= 79 u
79 u = 79
1 u = 79 ÷ 79 = 1
Answer(s): (a) 49; (b) 85; (c) 91; (d) 1