3 children have a total of $5000.
Adam has $500 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 + 500
Total amount that Adam, Bryan and Charlie
= 1 u + 2 u + 2 u + 500
= 5 u + 500
5 u + 500 = 5000
5 u = 5000 - 500 = 4500
5 u = 4500
1 u = 4500 ÷ 5 = 900
Amount that Adam has
= 2 u + 500
= 2 x 900 + 500
= 1800 + 500
= $2300
(b)
Amount that Bryan has
= 2 u
= $1800
(c)
Amount that Charlie has
= 1 u
= $900
Answer(s): (a) $2300; (b) $1800; (c) $900