3 children have a total of $2910.
Charlie has $160 more than Adam.
Adam has 2 times as much as Bryan.
- How much does Charlie have?
- How much does Adam have?
- How much does Bryan have?
(a)
Choose the person with least money to be 1 u.
Amount that Bryan has = 1 u
Amount that Adam has = 2 u
Amount that Charlie has = 2 u + 160
Total amount that Charlie, Adam and Bryan
= 1 u + 2 u + 2 u + 160
= 5 u + 160
5 u + 160 = 2910
5 u = 2910 - 160 = 2750
5 u = 2750
1 u = 2750 ÷ 5 = 550
Amount that Charlie has
= 2 u + 160
= 2 x 550 + 160
= 1100 + 160
= $1260
(b)
Amount that Adam has
= 2 u
= $1100
(c)
Amount that Bryan has
= 1 u
= $550
Answer(s): (a) $1260; (b) $1100; (c) $550