Adam and Bryan have some money in the ratio of 5 : 3
After Adam spends $290,
the amount that Adam has becomes is
27 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 |
5 x 7 = 35 u |
3 x 7 = 21 u |
Change |
- $290 |
No change |
After |
2 x 3 = 6 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
= 35 u - 6 u
= 29 u
29 u = 290
1 u = 290 ÷ 29 = 10
(a)
Amount that Adam has at first
= 35 u
= 35 x 10
= $350
(b)
Amount that Bryan has
= 21 u
= 21 x 10
= $210
(c)
Amount that Adam has less than Bryan in the end
= 21 u - 6 u
= 15 u
= 15 x 10
= $150
Answer(s): (a) $350; (b) $210; (c) $150