Charlie has 5 times as much money as Bryan.
After Charlie has spent $50,
he has 3 times as much money as Bryan.
- How much money does Bryan 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 |
Bryan |
Before |
5 u |
1 u |
Change |
- $50 |
No change |
After |
3 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 Charlie has spent
= 5 u - 3 u
= 2 u
2 u = 50
1 u = 50 ÷ 2 = 25
Amount that Bryan has
= 1 u
= $25
(b)
Amount that Charlie has in the end
= 3 u
= 3 x 25
= $75
(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
= 3 u + 1 u
= 4 u
= 4 x 25
= $100
Answer(s): (a) $25; (b) $75; (c) $150; (d) $100