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 4 : 7.
After Adam gives
29 of his money to Bryan,
Bryan has $86 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 |
4 x 9 = 36 u |
7 x 9 = 63 u |
Before |
9 x 4 = 36 u |
|
Change |
2 x 4 = - 8 u |
+ 8 u |
After |
7 x 4 = 28 u |
71 u |
(a)
Change ratio into units.
The amount that Adam has at first is repeated.
Amount that Adam has at first = 36 u
Amount that Bryan has at first = 63 u
Difference in the amount between Adam and Bryan at first
= 63 u - 36 u
= 27 u
(b)
Amount that Bryan has in the end
= 63 u + 8 u
= 71 u
(c)
Total amount that they have
= 36 u + 63 u
= 99 u
(d)
Difference in the amount that they have in the end
= 71 u - 28 u
= 43 u
43 u = 86
1 u = 86 ÷ 43 = 2
Answer(s): (a) 27; (b) 71; (c) 99; (d) 2