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 5 : 8.
After Adam gives
23 of his money to Bryan,
Bryan has $29 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 |
5 x 3 = 15 u |
8 x 3 = 24 u |
Before |
3 x 5 = 15 u |
|
Change |
2 x 5 = - 10 u |
+ 10 u |
After |
1 x 5 = 5 u |
34 u |
(a)
Change ratio into units.
The amount that Adam has at first is repeated.
Amount that Adam has at first = 15 u
Amount that Bryan has at first = 24 u
Difference in the amount between Adam and Bryan at first
= 24 u - 15 u
= 9 u
(b)
Amount that Bryan has in the end
= 24 u + 10 u
= 34 u
(c)
Total amount that they have
= 15 u + 24 u
= 39 u
(d)
Difference in the amount that they have in the end
= 34 u - 5 u
= 29 u
29 u = 29
1 u = 29 ÷ 29 = 1
Answer(s): (a) 9; (b) 34; (c) 39; (d) 1