Bryan and Adam have some money in the ratio of 5 : 2
After Bryan spends $290,
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 |
5 x 7 = 35 u |
2 x 7 = 14 u |
Change |
- $290 |
No change |
After |
3 x 2 = 6 u |
7 x 2 = 14 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 2 and 7.
LCM of 2 and 7 = 14
Amount that Bryan receives
= 35 u - 6 u
= 29 u
29 u = 290
1 u = 290 ÷ 29 = 10
(a)
Amount that Bryan has at first
= 35 u
= 35 x 10
= $350
(b)
Amount that Adam has
= 14 u
= 14 x 10
= $140
(c)
Amount that Bryan has less than Adam in the end
= 14 u - 6 u
= 8 u
= 8 x 10
= $80
Answer(s): (a) $350; (b) $140; (c) $80