Bryan and Adam have some money in the ratio of 7 : 2
After Bryan spends $170,
the amount that Bryan has becomes is
23 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 |
7 x 3 = 21 u |
2 x 3 = 6 u |
Change |
- $170 |
No change |
After |
2 x 2 = 4 u |
3 x 2 = 6 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 2 and 3.
LCM of 2 and 3 = 6
Amount that Bryan receives
= 21 u - 4 u
= 17 u
17 u = 170
1 u = 170 ÷ 17 = 10
(a)
Amount that Bryan has at first
= 21 u
= 21 x 10
= $210
(b)
Amount that Adam has
= 6 u
= 6 x 10
= $60
(c)
Amount that Bryan has less than Adam in the end
= 6 u - 4 u
= 2 u
= 2 x 10
= $20
Answer(s): (a) $210; (b) $60; (c) $20