Bryan and Adam have some money in the ratio of 5 : 3
After Bryan spends $130,
the amount that Bryan has becomes is
37 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 |
5 x 7 = 35 u |
3 x 7 = 21 u |
Change |
- $130 |
No change |
After |
3 x 3 = 9 u |
7 x 3 = 21 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 3 and 7.
LCM of 3 and 7 = 21
Amount that Bryan receives
= 35 u - 9 u
= 26 u
26 u = 130
1 u = 130 ÷ 26 = 5
(a)
Amount that Bryan has at first
= 35 u
= 35 x 5
= $175
(b)
Amount that Adam has
= 21 u
= 21 x 5
= $105
(c)
Amount that Bryan has less than Adam in the end
= 21 u - 9 u
= 12 u
= 12 x 5
= $60
Answer(s): (a) $175; (b) $105; (c) $60