Bryan and Adam have some money in the ratio of 7 : 3
After Bryan spends $300,
the amount that Bryan has becomes is
14 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 |
7 x 4 = 28 u |
3 x 4 = 12 u |
Change |
- $300 |
No change |
After |
1 x 3 = 3 u |
4 x 3 = 12 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 3 and 4.
LCM of 3 and 4 = 12
Amount that Bryan receives
= 28 u - 3 u
= 25 u
25 u = 300
1 u = 300 ÷ 25 = 12
(a)
Amount that Bryan has at first
= 28 u
= 28 x 12
= $336
(b)
Amount that Adam has
= 12 u
= 12 x 12
= $144
(c)
Amount that Bryan has less than Adam in the end
= 12 u - 3 u
= 9 u
= 9 x 12
= $108
Answer(s): (a) $336; (b) $144; (c) $108