Bryan and Adam have some money in the ratio of 1 : 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 |
1 x 5 = 5 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 - 5 u
= 9 u
9 u = 180
1 u = 180 ÷ 9 = 20
(a)
Amount that Bryan has at first
= 5 u
= 5 x 20
= $100
(b)
Amount that Adam has
= 35 u
= 35 x 20
= $700
(c)
Amount that Bryan has less than Adam in the end
= 35 u - 14 u
= 21 u
= 21 x 20
= $420
Answer(s): (a) $100; (b) $700; (c) $420