Bryan and Adam have some money in the ratio of 2 : 3
After Bryan receives $240,
the amount that Bryan has becomes is
45 that of Adam's.
- How much does Bryan have at first?
- How much does Adam have?
- How much less does Bryan have than Adam in the end?
|
Bryan |
Adam |
Before |
2 x 5 = 10 u |
3 x 5 = 15 u |
Change |
+ $240 |
No change |
After |
4 x 3 = 12 u |
5 x 3 = 15 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 3 and 5.
LCM of 3 and 5 = 15
Amount that Bryan receives
= 12 u - 10 u
= 2 u
2 u = 240
1 u = 240 ÷ 2 = 120
(a)
Amount that Bryan has at first
= 10 u
= 10 x 120
= $1200
(b)
Amount that Adam has
= 15 u
= 15 x 120
= $1800
(c)
Amount that Bryan has less than Adam in the end
= 15 u - 12 u
= 3 u
= 3 x 120
= $360
Answer(s): (a) $1200; (b) $1800; (c) $360