3 children have a total of $3120.
Bryan has $410 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 + 410
Total amount that Bryan, Adam and Charlie
= 1 u + 2 u + 2 u + 410
= 5 u + 410
5 u + 410 = 3120
5 u = 3120 - 410 = 2710
5 u = 2710
1 u = 2710 ÷ 5 = 542
Amount that Bryan has
= 2 u + 410
= 2 x 542 + 410
= 1084 + 410
= $1494
(b)
Amount that Adam has
= 2 u
= $1084
(c)
Amount that Charlie has
= 1 u
= $542
Answer(s): (a) $1494; (b) $1084; (c) $542