3 children have a total of $4560.
Charlie has $410 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 + 410
Total amount that Charlie, Adam and Bryan
= 1 u + 2 u + 2 u + 410
= 5 u + 410
5 u + 410 = 4560
5 u = 4560 - 410 = 4150
5 u = 4150
1 u = 4150 ÷ 5 = 830
Amount that Charlie has
= 2 u + 410
= 2 x 830 + 410
= 1660 + 410
= $2070
(b)
Amount that Adam has
= 2 u
= $1660
(c)
Amount that Bryan has
= 1 u
= $830
Answer(s): (a) $2070; (b) $1660; (c) $830