Bryan and Adam have some money in the ratio of 2 : 5
After Bryan receives $300,
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 |
2 x 3 = 6 u |
5 x 3 = 15 u |
Change |
+ $300 |
No change |
After |
2 x 5 = 10 u |
3 x 5 = 15 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 5 and 3.
LCM of 5 and 3 = 15
Amount that Bryan receives
= 10 u - 6 u
= 4 u
4 u = 300
1 u = 300 ÷ 4 = 75
(a)
Amount that Bryan has at first
= 6 u
= 6 x 75
= $450
(b)
Amount that Adam has
= 15 u
= 15 x 75
= $1125
(c)
Amount that Bryan has less than Adam in the end
= 15 u - 10 u
= 5 u
= 5 x 75
= $375
Answer(s): (a) $450; (b) $1125; (c) $375