Bryan and Adam have some money in the ratio of 7 : 4
After Bryan spends $370,
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 |
7 x 7 = 49 u |
4 x 7 = 28 u |
Change |
- $370 |
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
= 49 u - 12 u
= 37 u
37 u = 370
1 u = 370 ÷ 37 = 10
(a)
Amount that Bryan has at first
= 49 u
= 49 x 10
= $490
(b)
Amount that Adam has
= 28 u
= 28 x 10
= $280
(c)
Amount that Bryan has less than Adam in the end
= 28 u - 12 u
= 16 u
= 16 x 10
= $160
Answer(s): (a) $490; (b) $280; (c) $160