3 children have a total of $4640.
Charlie has $500 more than Bryan.
Bryan has 4 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 = 4 u
Amount that Charlie has = 4 u + 500
Total amount that Charlie, Bryan and Adam
= 1 u + 4 u + 4 u + 500
= 9 u + 500
9 u + 500 = 4640
9 u = 4640 - 500 = 4140
9 u = 4140
1 u = 4140 ÷ 9 = 460
Amount that Charlie has
= 4 u + 500
= 4 x 460 + 500
= 1840 + 500
= $2340
(b)
Amount that Bryan has
= 4 u
= $1840
(c)
Amount that Adam has
= 1 u
= $460
Answer(s): (a) $2340; (b) $1840; (c) $460