3 children have a total of $2930.
Adam has $180 more than Bryan.
Bryan has 2 times as much as Charlie.
- How much does Adam have?
- How much does Bryan have?
- How much does Charlie have?
(a)
Choose the person with least money to be 1 u.
Amount that Charlie has = 1 u
Amount that Bryan has = 2 u
Amount that Adam has = 2 u + 180
Total amount that Adam, Bryan and Charlie
= 1 u + 2 u + 2 u + 180
= 5 u + 180
5 u + 180 = 2930
5 u = 2930 - 180 = 2750
5 u = 2750
1 u = 2750 ÷ 5 = 550
Amount that Adam has
= 2 u + 180
= 2 x 550 + 180
= 1100 + 180
= $1280
(b)
Amount that Bryan has
= 2 u
= $1100
(c)
Amount that Charlie has
= 1 u
= $550
Answer(s): (a) $1280; (b) $1100; (c) $550