Adam and Bryan have some money in the ratio of 2 : 7
After Adam receives $120,
the amount that Adam has becomes is
38 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 |
2 x 8 = 16 u |
7 x 8 = 56 u |
Change |
+ $120 |
No change |
After |
3 x 7 = 21 u |
8 x 7 = 56 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 7 and 8.
LCM of 7 and 8 = 56
Amount that Adam receives
= 21 u - 16 u
= 5 u
5 u = 120
1 u = 120 ÷ 5 = 24
(a)
Amount that Adam has at first
= 16 u
= 16 x 24
= $384
(b)
Amount that Bryan has
= 56 u
= 56 x 24
= $1344
(c)
Amount that Adam has less than Bryan in the end
= 56 u - 21 u
= 35 u
= 35 x 24
= $840
Answer(s): (a) $384; (b) $1344; (c) $840