3 children have a total of $2320.
Adam has $180 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 + 180
Total amount that Adam, Charlie and Bryan
= 1 u + 2 u + 2 u + 180
= 5 u + 180
5 u + 180 = 2320
5 u = 2320 - 180 = 2140
5 u = 2140
1 u = 2140 ÷ 5 = 428
Amount that Adam has
= 2 u + 180
= 2 x 428 + 180
= 856 + 180
= $1036
(b)
Amount that Charlie has
= 2 u
= $856
(c)
Amount that Bryan has
= 1 u
= $428
Answer(s): (a) $1036; (b) $856; (c) $428