Bryan has 6 times as much money as Charlie.
After Bryan has spent $100,
he has 2 times as much money as Charlie.
- How much money does Charlie have?
- How much money does Bryan have in the end?
- How much money do they have at first?
- How much do they have in the end?
|
Bryan |
Charlie |
Before |
6 u |
1 u |
Change |
- $100 |
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 Bryan has spent
= 6 u - 2 u
= 4 u
4 u = 100
1 u = 100 ÷ 4 = 25
Amount that Charlie has
= 1 u
= $25
(b)
Amount that Bryan has in the end
= 2 u
= 2 x 25
= $50
(c)
Amount that they have at first
= 6 u + 1 u
= 7 u
= 7 x 25
= $175
(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) $175; (d) $75