Bryan has 9 times as much money as Adam.
After Bryan has spent $140,
he has 2 times as much money as Adam.
- How much money does Adam have?
- How much money does Bryan have in the end?
- How much money do they have at first?
- How much do they have in the end?
|
Bryan |
Adam |
Before |
9 u |
1 u |
Change |
- $140 |
No change |
After |
2 u |
1 u |
(a)
The amount that Adam has at first and in the end remains unchanged.
Make the amount that Adam has the same using LCM of 1 and 1.
LCM of 1 and 1 = 1
Amount that Bryan has spent
= 9 u - 2 u
= 7 u
7 u = 140
1 u = 140 ÷ 7 = 20
Amount that Adam has
= 1 u
= $20
(b)
Amount that Bryan has in the end
= 2 u
= 2 x 20
= $40
(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
= 2 u + 1 u
= 3 u
= 3 x 20
= $60
Answer(s): (a) $20; (b) $40; (c) $200; (d) $60