Bryan and Adam have some money in the ratio of 2 : 7
After Bryan receives $330,
the amount that Bryan has becomes is
38 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 |
2 x 8 = 16 u |
7 x 8 = 56 u |
Change |
+ $330 |
No change |
After |
3 x 7 = 21 u |
8 x 7 = 56 u |
The amount that Adam has remains unchanged.
Make the amount the same using the LCM of 7 and 8.
LCM of 7 and 8 = 56
Amount that Bryan receives
= 21 u - 16 u
= 5 u
5 u = 330
1 u = 330 ÷ 5 = 66
(a)
Amount that Bryan has at first
= 16 u
= 16 x 66
= $1056
(b)
Amount that Adam has
= 56 u
= 56 x 66
= $3696
(c)
Amount that Bryan has less than Adam in the end
= 56 u - 21 u
= 35 u
= 35 x 66
= $2310
Answer(s): (a) $1056; (b) $3696; (c) $2310