3 children have a total of $2800.
Bryan has $490 more than Charlie.
Charlie has 5 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 = 5 u
Amount that Bryan has = 5 u + 490
Total amount that Bryan, Charlie and Adam
= 1 u + 5 u + 5 u + 490
= 11 u + 490
11 u + 490 = 2800
11 u = 2800 - 490 = 2310
11 u = 2310
1 u = 2310 ÷ 11 = 210
Amount that Bryan has
= 5 u + 490
= 5 x 210 + 490
= 1050 + 490
= $1540
(b)
Amount that Charlie has
= 5 u
= $1050
(c)
Amount that Adam has
= 1 u
= $210
Answer(s): (a) $1540; (b) $1050; (c) $210