Bryan and Adam have some money in the ratio of 7 : 3
After Bryan spends $400,
the amount that Bryan has becomes is
37 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 7 = 49 u |
3 x 7 = 21 u |
Change |
- $400 |
No change |
After |
3 x 3 = 9 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
= 49 u - 9 u
= 40 u
40 u = 400
1 u = 400 ÷ 40 = 10
(a)
Amount that Bryan has at first
= 49 u
= 49 x 10
= $490
(b)
Amount that Adam has
= 21 u
= 21 x 10
= $210
(c)
Amount that Bryan has less than Adam in the end
= 21 u - 9 u
= 12 u
= 12 x 10
= $120
Answer(s): (a) $490; (b) $210; (c) $120