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 2 : 5.
After Bryan gives
15 of his money to Adam,
Adam has $38 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 |
2 x 5 = 10 u |
5 x 5 = 25 u |
Before |
5 x 2 = 10 u |
|
Change |
1 x 2 = - 2 u |
+ 2 u |
After |
4 x 2 = 8 u |
27 u |
(a)
Change ratio into units.
The amount that Bryan has at first is repeated.
Amount that Bryan has at first = 10 u
Amount that Adam has at first = 25 u
Difference in the amount between Bryan and Adam at first
= 25 u - 10 u
= 15 u
(b)
Amount that Adam has in the end
= 25 u + 2 u
= 27 u
(c)
Total amount that they have
= 10 u + 25 u
= 35 u
(d)
Difference in the amount that they have in the end
= 27 u - 8 u
= 19 u
19 u = 38
1 u = 38 ÷ 19 = 2
Answer(s): (a) 15; (b) 27; (c) 35; (d) 2