Bryan and Adam have some money in the ratio of 2 : 5
After Bryan receives $220,
the amount that Bryan has becomes is
57 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 7 = 14 u |
5 x 7 = 35 u |
Change |
+ $220 |
No change |
After |
5 x 5 = 25 u |
7 x 5 = 35 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 5 and 7.
LCM of 5 and 7 = 35
Amount that Bryan receives
= 25 u - 14 u
= 11 u
11 u = 220
1 u = 220 ÷ 11 = 20
(a)
Amount that Bryan has at first
= 14 u
= 14 x 20
= $280
(b)
Amount that Adam has
= 35 u
= 35 x 20
= $700
(c)
Amount that Bryan has less than Adam in the end
= 35 u - 25 u
= 10 u
= 10 x 20
= $200
Answer(s): (a) $280; (b) $700; (c) $200