Adam and Bryan have a total of $250.
Adam spends
13 of his money and
Bryan spends $10 of his money.
The ratio of Adam's money to Bryan's money becomes 8 : 3.
- How much does Bryan have at first?
- How much does Adam have in the end?
| |
Adam |
Bryan |
| Before |
3 x 4 =
12 u |
3 u + 10 |
| Change |
- 1 x 4 =
- 4 u
|
- 10 |
| After |
2 x 4 =
8 u |
|
Comparing between Adam
and Bryan in the end |
8 x 1 =
8 u |
3 x 1 =
3 u |
(a)
The amount of money that Adam has left in the end is the same as
the amount of money that Adam has in the end as compared to Bryan's.
Make the amount the same using the LCM of 2 and 8.
LCM of 2 and 8 = 8
Amount that Adam has at first = 12 u
Amount that Bryan has at first = 3 u + 10
Total amount that Adam and Bryan have at first
= 12 u + 3 u + 10
= 15 u + 10
15 u + 10 = 250
15 u = 250 - 10
15 u = 240
1 u = 240 ÷ 15 = 16
Amount that Bryan has at first
= 3 u + 10
= 3 x 16 + 10
= 48 + 10
= $58
(b)
Amount that Adam has in the end
= 8 u
= 8 x 16
= $128
Answer(s): (a) $58; (b) $128
