Adam and Bryan have some money in the ratio of 3 : 8
After Adam receives $110,
the amount that Adam has becomes is
47 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 7 = 21 u |
8 x 7 = 56 u |
Change |
+ $110 |
No change |
After |
4 x 8 = 32 u |
7 x 8 = 56 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 8 and 7.
LCM of 8 and 7 = 56
Amount that Adam receives
= 32 u - 21 u
= 11 u
11 u = 110
1 u = 110 ÷ 11 = 10
(a)
Amount that Adam has at first
= 21 u
= 21 x 10
= $210
(b)
Amount that Bryan has
= 56 u
= 56 x 10
= $560
(c)
Amount that Adam has less than Bryan in the end
= 56 u - 32 u
= 24 u
= 24 x 10
= $240
Answer(s): (a) $210; (b) $560; (c) $240