Adam has 5 times as much money as Bryan.
After Adam has spent $75,
he has 2 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 |
5 u |
1 u |
Change |
- $75 |
No change |
After |
2 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
= 5 u - 2 u
= 3 u
3 u = 75
1 u = 75 ÷ 3 = 25
Amount that Bryan has
= 1 u
= $25
(b)
Amount that Adam has in the end
= 2 u
= 2 x 25
= $50
(c)
Amount that they have at first
= 5 u + 1 u
= 6 u
= 6 x 25
= $150
(d)
Amount that they have in the end
= 2 u + 1 u
= 3 u
= 3 x 25
= $75
Answer(s): (a) $25; (b) $50; (c) $150; (d) $75