Bryan and Adam have a total of $160.
Bryan spends
23 of his money and
Adam spends $40 of his money.
The ratio of Bryan's money to Adam's money becomes 3 : 1.
- How much does Adam have at first?
- How much does Bryan have in the end?
| |
Bryan |
Adam |
| Before |
3 x 3 =
9 u |
1 u + 40 |
| Change |
- 2 x 3 =
- 6 u
|
- 40 |
| After |
1 x 3 =
3 u |
|
Comparing between Bryan
and Adam in the end |
3 x 1 =
3 u |
1 x 1 =
1 u |
(a)
The amount of money that Bryan has left in the end is the same as
the amount of money that Bryan has in the end as compared to Adam's.
Make the amount the same using the LCM of 1 and 3.
LCM of 1 and 3 = 3
Amount that Bryan has at first = 9 u
Amount that Adam has at first = 1 u + 40
Total amount that Bryan and Adam have at first
= 9 u + 1 u + 40
= 10 u + 40
10 u + 40 = 160
10 u = 160 - 40
10 u = 120
1 u = 120 ÷ 10 = 12
Amount that Adam has at first
= 1 u + 40
= 1 x 12 + 40
= 12 + 40
= $52
(b)
Amount that Bryan has in the end
= 3 u
= 3 x 12
= $36
Answer(s): (a) $52; (b) $36
