Adam and Bryan have some money in the ratio of 5 : 2
After Adam spends $390,
the amount that Adam has becomes is
13 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 |
5 x 3 = 15 u |
2 x 3 = 6 u |
Change |
- $390 |
No change |
After |
1 x 2 = 2 u |
3 x 2 = 6 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 2 and 3.
LCM of 2 and 3 = 6
Amount that Adam receives
= 15 u - 2 u
= 13 u
13 u = 390
1 u = 390 ÷ 13 = 30
(a)
Amount that Adam has at first
= 15 u
= 15 x 30
= $450
(b)
Amount that Bryan has
= 6 u
= 6 x 30
= $180
(c)
Amount that Adam has less than Bryan in the end
= 6 u - 2 u
= 4 u
= 4 x 30
= $120
Answer(s): (a) $450; (b) $180; (c) $120