3 children have a total of $2750.
Bryan has $320 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 + 320
Total amount that Bryan, Charlie and Adam
= 1 u + 2 u + 2 u + 320
= 5 u + 320
5 u + 320 = 2750
5 u = 2750 - 320 = 2430
5 u = 2430
1 u = 2430 ÷ 5 = 486
Amount that Bryan has
= 2 u + 320
= 2 x 486 + 320
= 972 + 320
= $1292
(b)
Amount that Charlie has
= 2 u
= $972
(c)
Amount that Adam has
= 1 u
= $486
Answer(s): (a) $1292; (b) $972; (c) $486