3 children have a total of $2250.
Bryan has $430 more than Charlie.
Charlie has 6 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 = 6 u
Amount that Bryan has = 6 u + 430
Total amount that Bryan, Charlie and Adam
= 1 u + 6 u + 6 u + 430
= 13 u + 430
13 u + 430 = 2250
13 u = 2250 - 430 = 1820
13 u = 1820
1 u = 1820 ÷ 13 = 140
Amount that Bryan has
= 6 u + 430
= 6 x 140 + 430
= 840 + 430
= $1270
(b)
Amount that Charlie has
= 6 u
= $840
(c)
Amount that Adam has
= 1 u
= $140
Answer(s): (a) $1270; (b) $840; (c) $140