Adam and Bryan have some money in the ratio of 4 : 3
After Adam spends $200,
the amount that Adam has becomes is
17 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 |
4 x 7 = 28 u |
3 x 7 = 21 u |
Change |
- $200 |
No change |
After |
1 x 3 = 3 u |
7 x 3 = 21 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 3 and 7.
LCM of 3 and 7 = 21
Amount that Adam receives
= 28 u - 3 u
= 25 u
25 u = 200
1 u = 200 ÷ 25 = 8
(a)
Amount that Adam has at first
= 28 u
= 28 x 8
= $224
(b)
Amount that Bryan has
= 21 u
= 21 x 8
= $168
(c)
Amount that Adam has less than Bryan in the end
= 21 u - 3 u
= 18 u
= 18 x 8
= $144
Answer(s): (a) $224; (b) $168; (c) $144