Bryan and Adam have some money in the ratio of 1 : 3
After Bryan receives $260,
the amount that Bryan has becomes is
47 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 7 = 7 u |
3 x 7 = 21 u |
Change |
+ $260 |
No change |
After |
4 x 3 = 12 u |
7 x 3 = 21 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 3 and 7.
LCM of 3 and 7 = 21
Amount that Bryan receives
= 12 u - 7 u
= 5 u
5 u = 260
1 u = 260 ÷ 5 = 52
(a)
Amount that Bryan has at first
= 7 u
= 7 x 52
= $364
(b)
Amount that Adam has
= 21 u
= 21 x 52
= $1092
(c)
Amount that Bryan has less than Adam in the end
= 21 u - 12 u
= 9 u
= 9 x 52
= $468
Answer(s): (a) $364; (b) $1092; (c) $468