Adam and Bryan have some money in the ratio of 2 : 7
After Adam receives $260,
the amount that Adam has becomes is
34 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 |
2 x 4 = 8 u |
7 x 4 = 28 u |
Change |
+ $260 |
No change |
After |
3 x 7 = 21 u |
4 x 7 = 28 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 7 and 4.
LCM of 7 and 4 = 28
Amount that Adam receives
= 21 u - 8 u
= 13 u
13 u = 260
1 u = 260 ÷ 13 = 20
(a)
Amount that Adam has at first
= 8 u
= 8 x 20
= $160
(b)
Amount that Bryan has
= 28 u
= 28 x 20
= $560
(c)
Amount that Adam has less than Bryan in the end
= 28 u - 21 u
= 7 u
= 7 x 20
= $140
Answer(s): (a) $160; (b) $560; (c) $140