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 7 : 8.
After Adam gives
59 of his money to Bryan,
Bryan has $79 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 |
7 x 9 = 63 u |
8 x 9 = 72 u |
Before |
9 x 7 = 63 u |
|
Change |
5 x 7 = - 35 u |
+ 35 u |
After |
4 x 7 = 28 u |
107 u |
(a)
Change ratio into units.
The amount that Adam has at first is repeated.
Amount that Adam has at first = 63 u
Amount that Bryan has at first = 72 u
Difference in the amount between Adam and Bryan at first
= 72 u - 63 u
= 9 u
(b)
Amount that Bryan has in the end
= 72 u + 35 u
= 107 u
(c)
Total amount that they have
= 63 u + 72 u
= 135 u
(d)
Difference in the amount that they have in the end
= 107 u - 28 u
= 79 u
79 u = 79
1 u = 79 ÷ 79 = 1
Answer(s): (a) 9; (b) 107; (c) 135; (d) 1