Bryan and Adam have some money in the ratio of 3 : 8
After Bryan receives $270,
the amount that Bryan has becomes is
37 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 7 = 21 u |
8 x 7 = 56 u |
Change |
+ $270 |
No change |
After |
3 x 8 = 24 u |
7 x 8 = 56 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 8 and 7.
LCM of 8 and 7 = 56
Amount that Bryan receives
= 24 u - 21 u
= 3 u
3 u = 270
1 u = 270 ÷ 3 = 90
(a)
Amount that Bryan has at first
= 21 u
= 21 x 90
= $1890
(b)
Amount that Adam has
= 56 u
= 56 x 90
= $5040
(c)
Amount that Bryan has less than Adam in the end
= 56 u - 24 u
= 32 u
= 32 x 90
= $2880
Answer(s): (a) $1890; (b) $5040; (c) $2880