Adam has 8 times as much money as Charlie.
After Adam has spent $100,
he has 3 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 |
8 u |
1 u |
Change |
- $100 |
No change |
After |
3 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
= 8 u - 3 u
= 5 u
5 u = 100
1 u = 100 ÷ 5 = 20
Amount that Charlie 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
= 8 u + 1 u
= 9 u
= 9 x 20
= $180
(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) $180; (d) $80