Adam and Bryan have some money in the ratio of 7 : 3
After Adam spends $390,
the amount that Adam has becomes is
16 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 |
7 x 2 = 14 u |
3 x 2 = 6 u |
Change |
- $390 |
No change |
After |
1 x 1 = 1 u |
6 x 1 = 6 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 3 and 6.
LCM of 3 and 6 = 6
Amount that Adam receives
= 14 u - 1 u
= 13 u
13 u = 390
1 u = 390 ÷ 13 = 30
(a)
Amount that Adam has at first
= 14 u
= 14 x 30
= $420
(b)
Amount that Bryan has
= 6 u
= 6 x 30
= $180
(c)
Amount that Adam has less than Bryan in the end
= 6 u - 1 u
= 5 u
= 5 x 30
= $150
Answer(s): (a) $420; (b) $180; (c) $150