Adam and Bryan have some money in the ratio of 1 : 3
After Adam receives $200,
the amount that Adam has becomes is
37 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 |
1 x 7 = 7 u |
3 x 7 = 21 u |
Change |
+ $200 |
No change |
After |
3 x 3 = 9 u |
7 x 3 = 21 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 3 and 7.
LCM of 3 and 7 = 21
Amount that Adam receives
= 9 u - 7 u
= 2 u
2 u = 200
1 u = 200 ÷ 2 = 100
(a)
Amount that Adam has at first
= 7 u
= 7 x 100
= $700
(b)
Amount that Bryan has
= 21 u
= 21 x 100
= $2100
(c)
Amount that Adam has less than Bryan in the end
= 21 u - 9 u
= 12 u
= 12 x 100
= $1200
Answer(s): (a) $700; (b) $2100; (c) $1200