Adam and Bryan have some money in the ratio of 4 : 7
After Adam receives $400,
the amount that Adam has becomes is
23 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 |
4 x 3 = 12 u |
7 x 3 = 21 u |
Change |
+ $400 |
No change |
After |
2 x 7 = 14 u |
3 x 7 = 21 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 7 and 3.
LCM of 7 and 3 = 21
Amount that Adam receives
= 14 u - 12 u
= 2 u
2 u = 400
1 u = 400 ÷ 2 = 200
(a)
Amount that Adam has at first
= 12 u
= 12 x 200
= $2400
(b)
Amount that Bryan has
= 21 u
= 21 x 200
= $4200
(c)
Amount that Adam has less than Bryan in the end
= 21 u - 14 u
= 7 u
= 7 x 200
= $1400
Answer(s): (a) $2400; (b) $4200; (c) $1400