Adam and Bryan have some money in the ratio of 3 : 8
After Adam receives $270,
the amount that Adam has becomes is
35 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 5 = 15 u |
8 x 5 = 40 u |
Change |
+ $270 |
No change |
After |
3 x 8 = 24 u |
5 x 8 = 40 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 8 and 5.
LCM of 8 and 5 = 40
Amount that Adam receives
= 24 u - 15 u
= 9 u
9 u = 270
1 u = 270 ÷ 9 = 30
(a)
Amount that Adam has at first
= 15 u
= 15 x 30
= $450
(b)
Amount that Bryan has
= 40 u
= 40 x 30
= $1200
(c)
Amount that Adam has less than Bryan in the end
= 40 u - 24 u
= 16 u
= 16 x 30
= $480
Answer(s): (a) $450; (b) $1200; (c) $480