3 children have a total of $2960.
Adam has $500 more than Charlie.
Charlie has 2 times as much as Bryan.
- How much does Adam have?
- How much does Charlie have?
- How much does Bryan have?
(a)
Choose the person with least money to be 1 u.
Amount that Bryan has = 1 u
Amount that Charlie has = 2 u
Amount that Adam has = 2 u + 500
Total amount that Adam, Charlie and Bryan
= 1 u + 2 u + 2 u + 500
= 5 u + 500
5 u + 500 = 2960
5 u = 2960 - 500 = 2460
5 u = 2460
1 u = 2460 ÷ 5 = 492
Amount that Adam has
= 2 u + 500
= 2 x 492 + 500
= 984 + 500
= $1484
(b)
Amount that Charlie has
= 2 u
= $984
(c)
Amount that Bryan has
= 1 u
= $492
Answer(s): (a) $1484; (b) $984; (c) $492