3 children have a total of $1160.
Charlie has $130 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 + 130
Total amount that Charlie, Bryan and Adam
= 1 u + 2 u + 2 u + 130
= 5 u + 130
5 u + 130 = 1160
5 u = 1160 - 130 = 1030
5 u = 1030
1 u = 1030 ÷ 5 = 206
Amount that Charlie has
= 2 u + 130
= 2 x 206 + 130
= 412 + 130
= $542
(b)
Amount that Bryan has
= 2 u
= $412
(c)
Amount that Adam has
= 1 u
= $206
Answer(s): (a) $542; (b) $412; (c) $206