Adam has 9 times as much money as Bryan.
After Adam has spent $120,
he has 3 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 |
- $120 |
No change |
After |
3 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 - 3 u
= 6 u
6 u = 120
1 u = 120 ÷ 6 = 20
Amount that Bryan has
= 1 u
= $20
(b)
Amount that Adam has in the end
= 3 u
= 3 x 20
= $60
(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
= 3 u + 1 u
= 4 u
= 4 x 20
= $80
Answer(s): (a) $20; (b) $60; (c) $200; (d) $80