Adam and Bryan have some money in the ratio of 3 : 1
After Adam spends $370,
the amount that Adam has becomes is
12 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 2 = 6 u |
1 x 2 = 2 u |
Change |
- $370 |
No change |
After |
1 x 1 = 1 u |
2 x 1 = 2 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 1 and 2.
LCM of 1 and 2 = 2
Amount that Adam receives
= 6 u - 1 u
= 5 u
5 u = 370
1 u = 370 ÷ 5 = 74
(a)
Amount that Adam has at first
= 6 u
= 6 x 74
= $444
(b)
Amount that Bryan has
= 2 u
= 2 x 74
= $148
(c)
Amount that Adam has less than Bryan in the end
= 2 u - 1 u
= 1 u
= 1 x 74
= $74
Answer(s): (a) $444; (b) $148; (c) $74