Bryan and Adam have some money in the ratio of 4 : 7
After Bryan receives $400,
the amount that Bryan has becomes is
45 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 |
4 x 5 = 20 u |
7 x 5 = 35 u |
Change |
+ $400 |
No change |
After |
4 x 7 = 28 u |
5 x 7 = 35 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 7 and 5.
LCM of 7 and 5 = 35
Amount that Bryan receives
= 28 u - 20 u
= 8 u
8 u = 400
1 u = 400 ÷ 8 = 50
(a)
Amount that Bryan has at first
= 20 u
= 20 x 50
= $1000
(b)
Amount that Adam has
= 35 u
= 35 x 50
= $1750
(c)
Amount that Bryan has less than Adam in the end
= 35 u - 28 u
= 7 u
= 7 x 50
= $350
Answer(s): (a) $1000; (b) $1750; (c) $350