Bryan and Adam have some money in the ratio of 4 : 7
After Bryan receives $340,
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 |
4 x 4 = 16 u |
7 x 4 = 28 u |
Change |
+ $340 |
No change |
After |
3 x 7 = 21 u |
4 x 7 = 28 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 7 and 4.
LCM of 7 and 4 = 28
Amount that Bryan receives
= 21 u - 16 u
= 5 u
5 u = 340
1 u = 340 ÷ 5 = 68
(a)
Amount that Bryan has at first
= 16 u
= 16 x 68
= $1088
(b)
Amount that Adam has
= 28 u
= 28 x 68
= $1904
(c)
Amount that Bryan has less than Adam in the end
= 28 u - 21 u
= 7 u
= 7 x 68
= $476
Answer(s): (a) $1088; (b) $1904; (c) $476