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
29 of his money to Bryan,
Bryan has $87 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 9 = 45 u |
6 x 9 = 54 u |
Before |
9 x 5 = 45 u |
|
Change |
2 x 5 = - 10 u |
+ 10 u |
After |
7 x 5 = 35 u |
64 u |
(a)
Change ratio into units.
The amount that Adam has at first is repeated.
Amount that Adam has at first = 45 u
Amount that Bryan has at first = 54 u
Difference in the amount between Adam and Bryan at first
= 54 u - 45 u
= 9 u
(b)
Amount that Bryan has in the end
= 54 u + 10 u
= 64 u
(c)
Total amount that they have
= 45 u + 54 u
= 99 u
(d)
Difference in the amount that they have in the end
= 64 u - 35 u
= 29 u
29 u = 87
1 u = 87 ÷ 29 = 3
Answer(s): (a) 9; (b) 64; (c) 99; (d) 3