Bryan and Adam have some money in the ratio of 7 : 4
After Bryan spends $190,
the amount that Bryan has becomes is
45 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 |
4 x 5 = 20 u |
Change |
- $190 |
No change |
After |
4 x 4 = 16 u |
5 x 4 = 20 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 4 and 5.
LCM of 4 and 5 = 20
Amount that Bryan receives
= 35 u - 16 u
= 19 u
19 u = 190
1 u = 190 ÷ 19 = 10
(a)
Amount that Bryan has at first
= 35 u
= 35 x 10
= $350
(b)
Amount that Adam has
= 20 u
= 20 x 10
= $200
(c)
Amount that Bryan has less than Adam in the end
= 20 u - 16 u
= 4 u
= 4 x 10
= $40
Answer(s): (a) $350; (b) $200; (c) $40