Adam and Bryan have some money in the ratio of 2 : 3
After Adam receives $350,
the amount that Adam has becomes is
45 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 |
2 x 5 = 10 u |
3 x 5 = 15 u |
Change |
+ $350 |
No change |
After |
4 x 3 = 12 u |
5 x 3 = 15 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 3 and 5.
LCM of 3 and 5 = 15
Amount that Adam receives
= 12 u - 10 u
= 2 u
2 u = 350
1 u = 350 ÷ 2 = 175
(a)
Amount that Adam has at first
= 10 u
= 10 x 175
= $1750
(b)
Amount that Bryan has
= 15 u
= 15 x 175
= $2625
(c)
Amount that Adam has less than Bryan in the end
= 15 u - 12 u
= 3 u
= 3 x 175
= $525
Answer(s): (a) $1750; (b) $2625; (c) $525