3 children have a total of $4080.
Adam has $420 more than Charlie.
Charlie has 2 times as much as Bryan.
- How much does Adam have?
- How much does Charlie 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 Charlie has = 2 u
Amount that Adam has = 2 u + 420
Total amount that Adam, Charlie and Bryan
= 1 u + 2 u + 2 u + 420
= 5 u + 420
5 u + 420 = 4080
5 u = 4080 - 420 = 3660
5 u = 3660
1 u = 3660 ÷ 5 = 732
Amount that Adam has
= 2 u + 420
= 2 x 732 + 420
= 1464 + 420
= $1884
(b)
Amount that Charlie has
= 2 u
= $1464
(c)
Amount that Bryan has
= 1 u
= $732
Answer(s): (a) $1884; (b) $1464; (c) $732