Bryan and Adam have some money in the ratio of 1 : 4
After Bryan receives $140,
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 |
1 x 7 = 7 u |
4 x 7 = 28 u |
Change |
+ $140 |
No change |
After |
3 x 4 = 12 u |
7 x 4 = 28 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 4 and 7.
LCM of 4 and 7 = 28
Amount that Bryan receives
= 12 u - 7 u
= 5 u
5 u = 140
1 u = 140 ÷ 5 = 28
(a)
Amount that Bryan has at first
= 7 u
= 7 x 28
= $196
(b)
Amount that Adam has
= 28 u
= 28 x 28
= $784
(c)
Amount that Bryan has less than Adam in the end
= 28 u - 12 u
= 16 u
= 16 x 28
= $448
Answer(s): (a) $196; (b) $784; (c) $448