Adam and Bryan have some money in the ratio of 3 : 7
After Adam receives $330,
the amount that Adam has becomes is
58 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 8 = 24 u |
7 x 8 = 56 u |
Change |
+ $330 |
No change |
After |
5 x 7 = 35 u |
8 x 7 = 56 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 7 and 8.
LCM of 7 and 8 = 56
Amount that Adam receives
= 35 u - 24 u
= 11 u
11 u = 330
1 u = 330 ÷ 11 = 30
(a)
Amount that Adam has at first
= 24 u
= 24 x 30
= $720
(b)
Amount that Bryan has
= 56 u
= 56 x 30
= $1680
(c)
Amount that Adam has less than Bryan in the end
= 56 u - 35 u
= 21 u
= 21 x 30
= $630
Answer(s): (a) $720; (b) $1680; (c) $630