Bryan and Adam have some money in the ratio of 7 : 2
After Bryan spends $310,
the amount that Bryan has becomes is
25 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 5 = 35 u |
2 x 5 = 10 u |
Change |
- $310 |
No change |
After |
2 x 2 = 4 u |
5 x 2 = 10 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 2 and 5.
LCM of 2 and 5 = 10
Amount that Bryan receives
= 35 u - 4 u
= 31 u
31 u = 310
1 u = 310 ÷ 31 = 10
(a)
Amount that Bryan has at first
= 35 u
= 35 x 10
= $350
(b)
Amount that Adam has
= 10 u
= 10 x 10
= $100
(c)
Amount that Bryan has less than Adam in the end
= 10 u - 4 u
= 6 u
= 6 x 10
= $60
Answer(s): (a) $350; (b) $100; (c) $60