Bryan and Adam have some money in the ratio of 7 : 1
After Bryan spends $200,
the amount that Bryan has becomes is
34 that of Adam's.
- How much does Bryan have at first?
- How much does Adam have?
- How much less does Bryan have than Adam in the end?
|
Bryan |
Adam |
Before |
7 x 4 = 28 u |
1 x 4 = 4 u |
Change |
- $200 |
No change |
After |
3 x 1 = 3 u |
4 x 1 = 4 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 1 and 4.
LCM of 1 and 4 = 4
Amount that Bryan receives
= 28 u - 3 u
= 25 u
25 u = 200
1 u = 200 ÷ 25 = 8
(a)
Amount that Bryan has at first
= 28 u
= 28 x 8
= $224
(b)
Amount that Adam has
= 4 u
= 4 x 8
= $32
(c)
Amount that Bryan has less than Adam in the end
= 4 u - 3 u
= 1 u
= 1 x 8
= $8
Answer(s): (a) $224; (b) $32; (c) $8