Bryan has 7 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 |
7 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
= 7 u - 2 u
= 5 u
5 u = 100
1 u = 100 ÷ 5 = 20
Amount that Charlie has
= 1 u
= $20
(b)
Amount that Bryan has in the end
= 2 u
= 2 x 20
= $40
(c)
Amount that they have at first
= 7 u + 1 u
= 8 u
= 8 x 20
= $160
(d)
Amount that they have in the end
= 2 u + 1 u
= 3 u
= 3 x 20
= $60
Answer(s): (a) $20; (b) $40; (c) $160; (d) $60