3 children have a total of $1640.
Adam has $140 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 + 140
Total amount that Adam, Charlie and Bryan
= 1 u + 2 u + 2 u + 140
= 5 u + 140
5 u + 140 = 1640
5 u = 1640 - 140 = 1500
5 u = 1500
1 u = 1500 ÷ 5 = 300
Amount that Adam has
= 2 u + 140
= 2 x 300 + 140
= 600 + 140
= $740
(b)
Amount that Charlie has
= 2 u
= $600
(c)
Amount that Bryan has
= 1 u
= $300
Answer(s): (a) $740; (b) $600; (c) $300