Bryan and Adam have some money in the ratio of 7 : 4
After Bryan spends $110,
the amount that Bryan has becomes is
38 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 2 = 14 u |
4 x 2 = 8 u |
Change |
- $110 |
No change |
After |
3 x 1 = 3 u |
8 x 1 = 8 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 4 and 8.
LCM of 4 and 8 = 8
Amount that Bryan receives
= 14 u - 3 u
= 11 u
11 u = 110
1 u = 110 ÷ 11 = 10
(a)
Amount that Bryan has at first
= 14 u
= 14 x 10
= $140
(b)
Amount that Adam has
= 8 u
= 8 x 10
= $80
(c)
Amount that Bryan has less than Adam in the end
= 8 u - 3 u
= 5 u
= 5 x 10
= $50
Answer(s): (a) $140; (b) $80; (c) $50