3 children have a total of $3120.
Bryan has $390 more than Adam.
Adam has 3 times as much as Charlie.
- How much does Bryan have?
- How much does Adam have?
- How much does Charlie have?
(a)
Choose the person with least money to be 1 u.
Amount that Charlie has = 1 u
Amount that Adam has = 3 u
Amount that Bryan has = 3 u + 390
Total amount that Bryan, Adam and Charlie
= 1 u + 3 u + 3 u + 390
= 7 u + 390
7 u + 390 = 3120
7 u = 3120 - 390 = 2730
7 u = 2730
1 u = 2730 ÷ 7 = 390
Amount that Bryan has
= 3 u + 390
= 3 x 390 + 390
= 1170 + 390
= $1560
(b)
Amount that Adam has
= 3 u
= $1170
(c)
Amount that Charlie has
= 1 u
= $390
Answer(s): (a) $1560; (b) $1170; (c) $390