Adam and Bryan have some money in the ratio of 3 : 7
After Adam receives $150,
the amount that Adam has becomes is
23 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 3 = 9 u |
7 x 3 = 21 u |
Change |
+ $150 |
No change |
After |
2 x 7 = 14 u |
3 x 7 = 21 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 7 and 3.
LCM of 7 and 3 = 21
Amount that Adam receives
= 14 u - 9 u
= 5 u
5 u = 150
1 u = 150 ÷ 5 = 30
(a)
Amount that Adam has at first
= 9 u
= 9 x 30
= $270
(b)
Amount that Bryan has
= 21 u
= 21 x 30
= $630
(c)
Amount that Adam has less than Bryan in the end
= 21 u - 14 u
= 7 u
= 7 x 30
= $210
Answer(s): (a) $270; (b) $630; (c) $210