Adam and Bryan have some money in the ratio of 3 : 5
After Adam receives $200,
the amount that Adam has becomes is
57 that of Bryan's.
- How much does Adam have at first?
- How much does Bryan have?
- How much less does Adam have than Bryan in the end?
|
Adam |
Bryan |
Before |
3 x 7 = 21 u |
5 x 7 = 35 u |
Change |
+ $200 |
No change |
After |
5 x 5 = 25 u |
7 x 5 = 35 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 5 and 7.
LCM of 5 and 7 = 35
Amount that Adam receives
= 25 u - 21 u
= 4 u
4 u = 200
1 u = 200 ÷ 4 = 50
(a)
Amount that Adam has at first
= 21 u
= 21 x 50
= $1050
(b)
Amount that Bryan has
= 35 u
= 35 x 50
= $1750
(c)
Amount that Adam has less than Bryan in the end
= 35 u - 25 u
= 10 u
= 10 x 50
= $500
Answer(s): (a) $1050; (b) $1750; (c) $500