3 children have a total of $4500.
Charlie has $440 more than Bryan.
Bryan has 3 times as much as Adam.
- How much does Charlie have?
- How much does Bryan have?
- How much does Adam have?
(a)
Choose the person with least money to be 1 u.
Amount that Adam has = 1 u
Amount that Bryan has = 3 u
Amount that Charlie has = 3 u + 440
Total amount that Charlie, Bryan and Adam
= 1 u + 3 u + 3 u + 440
= 7 u + 440
7 u + 440 = 4500
7 u = 4500 - 440 = 4060
7 u = 4060
1 u = 4060 ÷ 7 = 580
Amount that Charlie has
= 3 u + 440
= 3 x 580 + 440
= 1740 + 440
= $2180
(b)
Amount that Bryan has
= 3 u
= $1740
(c)
Amount that Adam has
= 1 u
= $580
Answer(s): (a) $2180; (b) $1740; (c) $580