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 2 : 7.
After Adam gives
49 of his money to Bryan,
Bryan has $61 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 |
2 x 9 = 18 u |
7 x 9 = 63 u |
Before |
9 x 2 = 18 u |
|
Change |
4 x 2 = - 8 u |
+ 8 u |
After |
5 x 2 = 10 u |
71 u |
(a)
Change ratio into units.
The amount that Adam has at first is repeated.
Amount that Adam has at first = 18 u
Amount that Bryan has at first = 63 u
Difference in the amount between Adam and Bryan at first
= 63 u - 18 u
= 45 u
(b)
Amount that Bryan has in the end
= 63 u + 8 u
= 71 u
(c)
Total amount that they have
= 18 u + 63 u
= 81 u
(d)
Difference in the amount that they have in the end
= 71 u - 10 u
= 61 u
61 u = 61
1 u = 61 ÷ 61 = 1
Answer(s): (a) 45; (b) 71; (c) 81; (d) 1