Adam and Bryan have some money in the ratio of 7 : 2
After Adam spends $120,
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 |
7 x 3 = 21 u |
2 x 3 = 6 u |
Change |
- $120 |
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 2 and 6.
LCM of 2 and 6 = 6
Amount that Adam receives
= 21 u - 1 u
= 20 u
20 u = 120
1 u = 120 ÷ 20 = 6
(a)
Amount that Adam has at first
= 21 u
= 21 x 6
= $126
(b)
Amount that Bryan has
= 6 u
= 6 x 6
= $36
(c)
Amount that Adam has less than Bryan in the end
= 6 u - 1 u
= 5 u
= 5 x 6
= $30
Answer(s): (a) $126; (b) $36; (c) $30