Adam and Bryan have some money in the ratio of 3 : 2
After Adam spends $210,
the amount that Adam has becomes is
37 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 7 = 21 u |
2 x 7 = 14 u |
Change |
- $210 |
No change |
After |
3 x 2 = 6 u |
7 x 2 = 14 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 2 and 7.
LCM of 2 and 7 = 14
Amount that Adam receives
= 21 u - 6 u
= 15 u
15 u = 210
1 u = 210 ÷ 15 = 14
(a)
Amount that Adam has at first
= 21 u
= 21 x 14
= $294
(b)
Amount that Bryan has
= 14 u
= 14 x 14
= $196
(c)
Amount that Adam has less than Bryan in the end
= 14 u - 6 u
= 8 u
= 8 x 14
= $112
Answer(s): (a) $294; (b) $196; (c) $112