Bryan and Adam have some money in the ratio of 3 : 7
After Bryan receives $280,
the amount that Bryan has becomes is
23 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 |
3 x 3 = 9 u |
7 x 3 = 21 u |
Change |
+ $280 |
No change |
After |
2 x 7 = 14 u |
3 x 7 = 21 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 7 and 3.
LCM of 7 and 3 = 21
Amount that Bryan receives
= 14 u - 9 u
= 5 u
5 u = 280
1 u = 280 ÷ 5 = 56
(a)
Amount that Bryan has at first
= 9 u
= 9 x 56
= $504
(b)
Amount that Adam has
= 21 u
= 21 x 56
= $1176
(c)
Amount that Bryan has less than Adam in the end
= 21 u - 14 u
= 7 u
= 7 x 56
= $392
Answer(s): (a) $504; (b) $1176; (c) $392