Adam and Bryan have some money in the ratio of 7 : 1
After Adam spends $280,
the amount that Adam has becomes is
13 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 |
7 x 3 = 21 u |
1 x 3 = 3 u |
Change |
- $280 |
No change |
After |
1 x 1 = 1 u |
3 x 1 = 3 u |
The amount that Bryan has remains unchanged.
Make the amount the same using the LCM of 1 and 3.
LCM of 1 and 3 = 3
Amount that Adam receives
= 21 u - 1 u
= 20 u
20 u = 280
1 u = 280 ÷ 20 = 14
(a)
Amount that Adam has at first
= 21 u
= 21 x 14
= $294
(b)
Amount that Bryan has
= 3 u
= 3 x 14
= $42
(c)
Amount that Adam has less than Bryan in the end
= 3 u - 1 u
= 2 u
= 2 x 14
= $28
Answer(s): (a) $294; (b) $42; (c) $28