3 children have a total of $2770.
Charlie has $100 more than Bryan.
Bryan has 2 times as much as Adam.
- How much does Charlie have?
- How much does Bryan have?
- How much does Adam have?
(a)
Choose the person with least money to be 1 u.
Amount that Adam has = 1 u
Amount that Bryan has = 2 u
Amount that Charlie has = 2 u + 100
Total amount that Charlie, Bryan and Adam
= 1 u + 2 u + 2 u + 100
= 5 u + 100
5 u + 100 = 2770
5 u = 2770 - 100 = 2670
5 u = 2670
1 u = 2670 ÷ 5 = 534
Amount that Charlie has
= 2 u + 100
= 2 x 534 + 100
= 1068 + 100
= $1168
(b)
Amount that Bryan has
= 2 u
= $1068
(c)
Amount that Adam has
= 1 u
= $534
Answer(s): (a) $1168; (b) $1068; (c) $534