3 children have a total of $4760.
Charlie has $470 more than Bryan.
Bryan has 5 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 = 5 u
Amount that Charlie has = 5 u + 470
Total amount that Charlie, Bryan and Adam
= 1 u + 5 u + 5 u + 470
= 11 u + 470
11 u + 470 = 4760
11 u = 4760 - 470 = 4290
11 u = 4290
1 u = 4290 ÷ 11 = 390
Amount that Charlie has
= 5 u + 470
= 5 x 390 + 470
= 1950 + 470
= $2420
(b)
Amount that Bryan has
= 5 u
= $1950
(c)
Amount that Adam has
= 1 u
= $390
Answer(s): (a) $2420; (b) $1950; (c) $390