Bryan and Adam have some money in the ratio of 8 : 3
After Bryan spends $170,
the amount that Bryan has becomes is
25 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 |
8 x 5 = 40 u |
3 x 5 = 15 u |
Change |
- $170 |
No change |
After |
2 x 3 = 6 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
= 40 u - 6 u
= 34 u
34 u = 170
1 u = 170 ÷ 34 = 5
(a)
Amount that Bryan has at first
= 40 u
= 40 x 5
= $200
(b)
Amount that Adam has
= 15 u
= 15 x 5
= $75
(c)
Amount that Bryan has less than Adam in the end
= 15 u - 6 u
= 9 u
= 9 x 5
= $45
Answer(s): (a) $200; (b) $75; (c) $45