Adam and Bryan have some money in the ratio of 2 : 5
After Adam receives $260,
the amount that Adam has becomes is
56 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 |
2 x 6 = 12 u |
5 x 6 = 30 u |
Change |
+ $260 |
No change |
After |
5 x 5 = 25 u |
6 x 5 = 30 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 5 and 6.
LCM of 5 and 6 = 30
Amount that Adam receives
= 25 u - 12 u
= 13 u
13 u = 260
1 u = 260 ÷ 13 = 20
(a)
Amount that Adam has at first
= 12 u
= 12 x 20
= $240
(b)
Amount that Bryan has
= 30 u
= 30 x 20
= $600
(c)
Amount that Adam has less than Bryan in the end
= 30 u - 25 u
= 5 u
= 5 x 20
= $100
Answer(s): (a) $240; (b) $600; (c) $100