3 children have a total of $4700.
Bryan has $170 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 + 170
Total amount that Bryan, Charlie and Adam
= 1 u + 2 u + 2 u + 170
= 5 u + 170
5 u + 170 = 4700
5 u = 4700 - 170 = 4530
5 u = 4530
1 u = 4530 ÷ 5 = 906
Amount that Bryan has
= 2 u + 170
= 2 x 906 + 170
= 1812 + 170
= $1982
(b)
Amount that Charlie has
= 2 u
= $1812
(c)
Amount that Adam has
= 1 u
= $906
Answer(s): (a) $1982; (b) $1812; (c) $906