3 children have a total of $1160.
Charlie has $340 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 + 340
Total amount that Charlie, Bryan and Adam
= 1 u + 2 u + 2 u + 340
= 5 u + 340
5 u + 340 = 1160
5 u = 1160 - 340 = 820
5 u = 820
1 u = 820 ÷ 5 = 164
Amount that Charlie has
= 2 u + 340
= 2 x 164 + 340
= 328 + 340
= $668
(b)
Amount that Bryan has
= 2 u
= $328
(c)
Amount that Adam has
= 1 u
= $164
Answer(s): (a) $668; (b) $328; (c) $164