Adam and Bryan have some money in the ratio of 3 : 2
After Adam spends $360,
the amount that Adam has becomes is
14 that of Bryan's.
- How much does Adam have at first?
- How much does Bryan have?
- How much less does Adam have than Bryan in the end?
|
Adam |
Bryan |
Before |
3 x 2 = 6 u |
2 x 2 = 4 u |
Change |
- $360 |
No change |
After |
1 x 1 = 1 u |
4 x 1 = 4 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 2 and 4.
LCM of 2 and 4 = 4
Amount that Adam receives
= 6 u - 1 u
= 5 u
5 u = 360
1 u = 360 ÷ 5 = 72
(a)
Amount that Adam has at first
= 6 u
= 6 x 72
= $432
(b)
Amount that Bryan has
= 4 u
= 4 x 72
= $288
(c)
Amount that Adam has less than Bryan in the end
= 4 u - 1 u
= 3 u
= 3 x 72
= $216
Answer(s): (a) $432; (b) $288; (c) $216