3 children have a total of $1680.
Charlie has $160 more than Bryan.
Bryan has 2 times as much as Adam.
- How much does Charlie have?
- How much does Bryan 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 Bryan has = 2 u
Amount that Charlie has = 2 u + 160
Total amount that Charlie, Bryan and Adam
= 1 u + 2 u + 2 u + 160
= 5 u + 160
5 u + 160 = 1680
5 u = 1680 - 160 = 1520
5 u = 1520
1 u = 1520 ÷ 5 = 304
Amount that Charlie has
= 2 u + 160
= 2 x 304 + 160
= 608 + 160
= $768
(b)
Amount that Bryan has
= 2 u
= $608
(c)
Amount that Adam has
= 1 u
= $304
Answer(s): (a) $768; (b) $608; (c) $304