3 children have a total of $1710.
Bryan has $100 more than Charlie.
Charlie has 2 times as much as Adam.
- How much does Bryan have?
- How much does Charlie 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 Charlie has = 2 u
Amount that Bryan has = 2 u + 100
Total amount that Bryan, Charlie and Adam
= 1 u + 2 u + 2 u + 100
= 5 u + 100
5 u + 100 = 1710
5 u = 1710 - 100 = 1610
5 u = 1610
1 u = 1610 ÷ 5 = 322
Amount that Bryan has
= 2 u + 100
= 2 x 322 + 100
= 644 + 100
= $744
(b)
Amount that Charlie has
= 2 u
= $644
(c)
Amount that Adam has
= 1 u
= $322
Answer(s): (a) $744; (b) $644; (c) $322