3 children have a total of $4090.
Bryan has $360 more than Charlie.
Charlie has 2 times as much as Adam.
- How much does Bryan have?
- How much does Charlie 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 Charlie has = 2 u
Amount that Bryan has = 2 u + 360
Total amount that Bryan, Charlie and Adam
= 1 u + 2 u + 2 u + 360
= 5 u + 360
5 u + 360 = 4090
5 u = 4090 - 360 = 3730
5 u = 3730
1 u = 3730 ÷ 5 = 746
Amount that Bryan has
= 2 u + 360
= 2 x 746 + 360
= 1492 + 360
= $1852
(b)
Amount that Charlie has
= 2 u
= $1492
(c)
Amount that Adam has
= 1 u
= $746
Answer(s): (a) $1852; (b) $1492; (c) $746