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
27 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 |
2 x 7 = 14 u |
7 x 7 = 49 u |
Before |
7 x 2 = 14 u |
|
Change |
2 x 2 = - 4 u |
+ 4 u |
After |
5 x 2 = 10 u |
53 u |
(a)
Change ratio into units.
The amount that Adam has at first is repeated.
Amount that Adam has at first = 14 u
Amount that Bryan has at first = 49 u
Difference in the amount between Adam and Bryan at first
= 49 u - 14 u
= 35 u
(b)
Amount that Bryan has in the end
= 49 u + 4 u
= 53 u
(c)
Total amount that they have
= 14 u + 49 u
= 63 u
(d)
Difference in the amount that they have in the end
= 53 u - 10 u
= 43 u
43 u = 86
1 u = 86 ÷ 43 = 2
Answer(s): (a) 35; (b) 53; (c) 63; (d) 2