Adam and Bryan have some money in the ratio of 3 : 1
After Adam spends $340,
the amount that Adam has becomes is
16 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 6 = 18 u |
1 x 6 = 6 u |
Change |
- $340 |
No change |
After |
1 x 1 = 1 u |
6 x 1 = 6 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 1 and 6.
LCM of 1 and 6 = 6
Amount that Adam receives
= 18 u - 1 u
= 17 u
17 u = 340
1 u = 340 ÷ 17 = 20
(a)
Amount that Adam has at first
= 18 u
= 18 x 20
= $360
(b)
Amount that Bryan has
= 6 u
= 6 x 20
= $120
(c)
Amount that Adam has less than Bryan in the end
= 6 u - 1 u
= 5 u
= 5 x 20
= $100
Answer(s): (a) $360; (b) $120; (c) $100