Adam has 5 times as much money as Charlie.
After Adam has spent $90,
he has 2 times as much money as Charlie.
- How much money does Charlie 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 |
Charlie |
Before |
5 u |
1 u |
Change |
- $90 |
No change |
After |
2 u |
1 u |
(a)
The amount that Charlie has at first and in the end remains unchanged.
Make the amount that Charlie 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 = 90
1 u = 90 ÷ 3 = 30
Amount that Charlie has
= 1 u
= $30
(b)
Amount that Adam has in the end
= 2 u
= 2 x 30
= $60
(c)
Amount that they have at first
= 5 u + 1 u
= 6 u
= 6 x 30
= $180
(d)
Amount that they have in the end
= 2 u + 1 u
= 3 u
= 3 x 30
= $90
Answer(s): (a) $30; (b) $60; (c) $180; (d) $90