Adam and Bryan have some money in the ratio of 8 : 1
After Adam spends $120,
the amount that Adam has becomes is
12 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 |
8 x 2 = 16 u |
1 x 2 = 2 u |
Change |
- $120 |
No change |
After |
1 x 1 = 1 u |
2 x 1 = 2 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 1 and 2.
LCM of 1 and 2 = 2
Amount that Adam receives
= 16 u - 1 u
= 15 u
15 u = 120
1 u = 120 ÷ 15 = 8
(a)
Amount that Adam has at first
= 16 u
= 16 x 8
= $128
(b)
Amount that Bryan has
= 2 u
= 2 x 8
= $16
(c)
Amount that Adam has less than Bryan in the end
= 2 u - 1 u
= 1 u
= 1 x 8
= $8
Answer(s): (a) $128; (b) $16; (c) $8