Bryan and Adam have some money in the ratio of 3 : 1
After Bryan spends $240,
the amount that Bryan has becomes is
17 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 |
3 x 7 = 21 u |
1 x 7 = 7 u |
Change |
- $240 |
No change |
After |
1 x 1 = 1 u |
7 x 1 = 7 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 1 and 7.
LCM of 1 and 7 = 7
Amount that Bryan receives
= 21 u - 1 u
= 20 u
20 u = 240
1 u = 240 ÷ 20 = 12
(a)
Amount that Bryan has at first
= 21 u
= 21 x 12
= $252
(b)
Amount that Adam has
= 7 u
= 7 x 12
= $84
(c)
Amount that Bryan has less than Adam in the end
= 7 u - 1 u
= 6 u
= 6 x 12
= $72
Answer(s): (a) $252; (b) $84; (c) $72