Adam and Bryan have some money in the ratio of 4 : 1
After Adam spends $150,
the amount that Adam has becomes is
14 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 |
4 x 4 = 16 u |
1 x 4 = 4 u |
Change |
- $150 |
No change |
After |
1 x 1 = 1 u |
4 x 1 = 4 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 1 and 4.
LCM of 1 and 4 = 4
Amount that Adam receives
= 16 u - 1 u
= 15 u
15 u = 150
1 u = 150 ÷ 15 = 10
(a)
Amount that Adam has at first
= 16 u
= 16 x 10
= $160
(b)
Amount that Bryan has
= 4 u
= 4 x 10
= $40
(c)
Amount that Adam has less than Bryan in the end
= 4 u - 1 u
= 3 u
= 3 x 10
= $30
Answer(s): (a) $160; (b) $40; (c) $30