Bryan and Adam have some money in the ratio of 7 : 5
After Bryan spends $370,
the amount that Bryan has becomes is
16 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 6 = 42 u |
5 x 6 = 30 u |
Change |
- $370 |
No change |
After |
1 x 5 = 5 u |
6 x 5 = 30 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 5 and 6.
LCM of 5 and 6 = 30
Amount that Bryan receives
= 42 u - 5 u
= 37 u
37 u = 370
1 u = 370 ÷ 37 = 10
(a)
Amount that Bryan has at first
= 42 u
= 42 x 10
= $420
(b)
Amount that Adam has
= 30 u
= 30 x 10
= $300
(c)
Amount that Bryan has less than Adam in the end
= 30 u - 5 u
= 25 u
= 25 x 10
= $250
Answer(s): (a) $420; (b) $300; (c) $250