Adam and Bryan have some money in the ratio of 1 : 4
After Adam receives $110,
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 |
4 x 7 = 28 u |
Change |
+ $110 |
No change |
After |
3 x 4 = 12 u |
7 x 4 = 28 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 4 and 7.
LCM of 4 and 7 = 28
Amount that Adam receives
= 12 u - 7 u
= 5 u
5 u = 110
1 u = 110 ÷ 5 = 22
(a)
Amount that Adam has at first
= 7 u
= 7 x 22
= $154
(b)
Amount that Bryan has
= 28 u
= 28 x 22
= $616
(c)
Amount that Adam has less than Bryan in the end
= 28 u - 12 u
= 16 u
= 16 x 22
= $352
Answer(s): (a) $154; (b) $616; (c) $352