3 children have a total of $4160.
Charlie has $450 more than Adam.
Adam has 3 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 = 3 u
Amount that Charlie has = 3 u + 450
Total amount that Charlie, Adam and Bryan
= 1 u + 3 u + 3 u + 450
= 7 u + 450
7 u + 450 = 4160
7 u = 4160 - 450 = 3710
7 u = 3710
1 u = 3710 ÷ 7 = 530
Amount that Charlie has
= 3 u + 450
= 3 x 530 + 450
= 1590 + 450
= $2040
(b)
Amount that Adam has
= 3 u
= $1590
(c)
Amount that Bryan has
= 1 u
= $530
Answer(s): (a) $2040; (b) $1590; (c) $530