3 children have a total of $2870.
Charlie has $280 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 + 280
Total amount that Charlie, Adam and Bryan
= 1 u + 3 u + 3 u + 280
= 7 u + 280
7 u + 280 = 2870
7 u = 2870 - 280 = 2590
7 u = 2590
1 u = 2590 ÷ 7 = 370
Amount that Charlie has
= 3 u + 280
= 3 x 370 + 280
= 1110 + 280
= $1390
(b)
Amount that Adam has
= 3 u
= $1110
(c)
Amount that Bryan has
= 1 u
= $370
Answer(s): (a) $1390; (b) $1110; (c) $370