Charlie has 5 times as much money as Adam.
After Charlie has spent $75,
he has 2 times as much money as Adam.
- How much money does Adam have?
- How much money does Charlie have in the end?
- How much money do they have at first?
- How much do they have in the end?
|
Charlie |
Adam |
Before |
5 u |
1 u |
Change |
- $75 |
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 Charlie has spent
= 5 u - 2 u
= 3 u
3 u = 75
1 u = 75 ÷ 3 = 25
Amount that Adam has
= 1 u
= $25
(b)
Amount that Charlie 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