Bryan and Adam have some money in the ratio of 3 : 1
After Bryan spends $360,
the amount that Bryan has becomes is
35 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 |
3 x 5 = 15 u |
1 x 5 = 5 u |
Change |
- $360 |
No change |
After |
3 x 1 = 3 u |
5 x 1 = 5 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 1 and 5.
LCM of 1 and 5 = 5
Amount that Bryan receives
= 15 u - 3 u
= 12 u
12 u = 360
1 u = 360 ÷ 12 = 30
(a)
Amount that Bryan has at first
= 15 u
= 15 x 30
= $450
(b)
Amount that Adam has
= 5 u
= 5 x 30
= $150
(c)
Amount that Bryan has less than Adam in the end
= 5 u - 3 u
= 2 u
= 2 x 30
= $60
Answer(s): (a) $450; (b) $150; (c) $60