Adam and Bryan have some money in the ratio of 7 : 2
After Adam spends $270,
the amount that Adam has becomes is
18 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 |
7 x 4 = 28 u |
2 x 4 = 8 u |
Change |
- $270 |
No change |
After |
1 x 1 = 1 u |
8 x 1 = 8 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 2 and 8.
LCM of 2 and 8 = 8
Amount that Adam receives
= 28 u - 1 u
= 27 u
27 u = 270
1 u = 270 ÷ 27 = 10
(a)
Amount that Adam has at first
= 28 u
= 28 x 10
= $280
(b)
Amount that Bryan has
= 8 u
= 8 x 10
= $80
(c)
Amount that Adam has less than Bryan in the end
= 8 u - 1 u
= 7 u
= 7 x 10
= $70
Answer(s): (a) $280; (b) $80; (c) $70