Adam and Bryan have some money in the ratio of 1 : 7
After Adam receives $290,
the amount that Adam has becomes is
56 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 6 = 6 u |
7 x 6 = 42 u |
Change |
+ $290 |
No change |
After |
5 x 7 = 35 u |
6 x 7 = 42 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 7 and 6.
LCM of 7 and 6 = 42
Amount that Adam receives
= 35 u - 6 u
= 29 u
29 u = 290
1 u = 290 ÷ 29 = 10
(a)
Amount that Adam has at first
= 6 u
= 6 x 10
= $60
(b)
Amount that Bryan has
= 42 u
= 42 x 10
= $420
(c)
Amount that Adam has less than Bryan in the end
= 42 u - 35 u
= 7 u
= 7 x 10
= $70
Answer(s): (a) $60; (b) $420; (c) $70