3 children have a total of $1170.
Bryan has $400 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 + 400
Total amount that Bryan, Charlie and Adam
= 1 u + 5 u + 5 u + 400
= 11 u + 400
11 u + 400 = 1170
11 u = 1170 - 400 = 770
11 u = 770
1 u = 770 ÷ 11 = 70
Amount that Bryan has
= 5 u + 400
= 5 x 70 + 400
= 350 + 400
= $750
(b)
Amount that Charlie has
= 5 u
= $350
(c)
Amount that Adam has
= 1 u
= $70
Answer(s): (a) $750; (b) $350; (c) $70