Adam has 9 times as much money as Charlie.
After Adam has spent $80,
he has 5 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 |
9 u |
1 u |
Change |
- $80 |
No change |
After |
5 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
= 9 u - 5 u
= 4 u
4 u = 80
1 u = 80 ÷ 4 = 20
Amount that Charlie has
= 1 u
= $20
(b)
Amount that Adam has in the end
= 5 u
= 5 x 20
= $100
(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
= 5 u + 1 u
= 6 u
= 6 x 20
= $120
Answer(s): (a) $20; (b) $100; (c) $200; (d) $120