3 children have a total of $1850.
Bryan has $100 more than Adam.
Adam has 2 times as much as Charlie.
- How much does Bryan have?
- How much does Adam 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 Adam has = 2 u
Amount that Bryan has = 2 u + 100
Total amount that Bryan, Adam and Charlie
= 1 u + 2 u + 2 u + 100
= 5 u + 100
5 u + 100 = 1850
5 u = 1850 - 100 = 1750
5 u = 1750
1 u = 1750 ÷ 5 = 350
Amount that Bryan has
= 2 u + 100
= 2 x 350 + 100
= 700 + 100
= $800
(b)
Amount that Adam has
= 2 u
= $700
(c)
Amount that Charlie has
= 1 u
= $350
Answer(s): (a) $800; (b) $700; (c) $350