Adam and Bryan have some money in the ratio of 4 : 3
After Adam spends $120,
the amount that Adam has becomes is
45 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 |
4 x 5 = 20 u |
3 x 5 = 15 u |
Change |
- $120 |
No change |
After |
4 x 3 = 12 u |
5 x 3 = 15 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 3 and 5.
LCM of 3 and 5 = 15
Amount that Adam receives
= 20 u - 12 u
= 8 u
8 u = 120
1 u = 120 ÷ 8 = 15
(a)
Amount that Adam has at first
= 20 u
= 20 x 15
= $300
(b)
Amount that Bryan has
= 15 u
= 15 x 15
= $225
(c)
Amount that Adam has less than Bryan in the end
= 15 u - 12 u
= 3 u
= 3 x 15
= $45
Answer(s): (a) $300; (b) $225; (c) $45