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 : 6.
After Adam gives
23 of his money to Bryan,
Bryan has $69 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 |
6 x 3 = 18 u |
Before |
3 x 5 = 15 u |
|
Change |
2 x 5 = - 10 u |
+ 10 u |
After |
1 x 5 = 5 u |
28 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 = 18 u
Difference in the amount between Adam and Bryan at first
= 18 u - 15 u
= 3 u
(b)
Amount that Bryan has in the end
= 18 u + 10 u
= 28 u
(c)
Total amount that they have
= 15 u + 18 u
= 33 u
(d)
Difference in the amount that they have in the end
= 28 u - 5 u
= 23 u
23 u = 69
1 u = 69 ÷ 23 = 3
Answer(s): (a) 3; (b) 28; (c) 33; (d) 3