Adam has 9 times as much money as Bryan.
After Adam has spent $40,
he has 7 times as much money as Bryan.
- How much money does Bryan have?
- How much money does Adam have in the end?
- How much money do they have at first?
- How much do they have in the end?
|
Adam |
Bryan |
Before |
9 u |
1 u |
Change |
- $40 |
No change |
After |
7 u |
1 u |
(a)
The amount that Bryan has at first and in the end remains unchanged.
Make the amount that Bryan has the same using LCM of 1 and 1.
LCM of 1 and 1 = 1
Amount that Adam has spent
= 9 u - 7 u
= 2 u
2 u = 40
1 u = 40 ÷ 2 = 20
Amount that Bryan has
= 1 u
= $20
(b)
Amount that Adam has in the end
= 7 u
= 7 x 20
= $140
(c)
Amount that they have at first
= 9 u + 1 u
= 10 u
= 10 x 20
= $200
(d)
Amount that they have in the end
= 7 u + 1 u
= 8 u
= 8 x 20
= $160
Answer(s): (a) $20; (b) $140; (c) $200; (d) $160