3 children have a total of $3470.
Charlie has $390 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 + 390
Total amount that Charlie, Bryan and Adam
= 1 u + 3 u + 3 u + 390
= 7 u + 390
7 u + 390 = 3470
7 u = 3470 - 390 = 3080
7 u = 3080
1 u = 3080 ÷ 7 = 440
Amount that Charlie has
= 3 u + 390
= 3 x 440 + 390
= 1320 + 390
= $1710
(b)
Amount that Bryan has
= 3 u
= $1320
(c)
Amount that Adam has
= 1 u
= $440
Answer(s): (a) $1710; (b) $1320; (c) $440