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 3 : 4.
After Adam gives
38 of his money to Bryan,
Bryan has $78 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 |
3 x 8 = 24 u |
4 x 8 = 32 u |
Before |
8 x 3 = 24 u |
|
Change |
3 x 3 = - 9 u |
+ 9 u |
After |
5 x 3 = 15 u |
41 u |
(a)
Change ratio into units.
The amount that Adam has at first is repeated.
Amount that Adam has at first = 24 u
Amount that Bryan has at first = 32 u
Difference in the amount between Adam and Bryan at first
= 32 u - 24 u
= 8 u
(b)
Amount that Bryan has in the end
= 32 u + 9 u
= 41 u
(c)
Total amount that they have
= 24 u + 32 u
= 56 u
(d)
Difference in the amount that they have in the end
= 41 u - 15 u
= 26 u
26 u = 78
1 u = 78 ÷ 26 = 3
Answer(s): (a) 8; (b) 41; (c) 56; (d) 3