Bryan and Adam have some money in the ratio of 2 : 7
After Bryan receives $180,
the amount that Bryan has becomes is
25 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 5 = 10 u |
7 x 5 = 35 u |
Change |
+ $180 |
No change |
After |
2 x 7 = 14 u |
5 x 7 = 35 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 7 and 5.
LCM of 7 and 5 = 35
Amount that Bryan receives
= 14 u - 10 u
= 4 u
4 u = 180
1 u = 180 ÷ 4 = 45
(a)
Amount that Bryan has at first
= 10 u
= 10 x 45
= $450
(b)
Amount that Adam has
= 35 u
= 35 x 45
= $1575
(c)
Amount that Bryan has less than Adam in the end
= 35 u - 14 u
= 21 u
= 21 x 45
= $945
Answer(s): (a) $450; (b) $1575; (c) $945