3 children have a total of $1350.
Adam has $470 more than Bryan.
Bryan has 5 times as much as Charlie.
- How much does Adam have?
- How much does Bryan 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 Bryan has = 5 u
Amount that Adam has = 5 u + 470
Total amount that Adam, Bryan and Charlie
= 1 u + 5 u + 5 u + 470
= 11 u + 470
11 u + 470 = 1350
11 u = 1350 - 470 = 880
11 u = 880
1 u = 880 ÷ 11 = 80
Amount that Adam has
= 5 u + 470
= 5 x 80 + 470
= 400 + 470
= $870
(b)
Amount that Bryan has
= 5 u
= $400
(c)
Amount that Charlie has
= 1 u
= $80
Answer(s): (a) $870; (b) $400; (c) $80