3 children have a total of $1680.
Charlie has $150 more than Bryan.
Bryan has 4 times as much as Adam.
- How much does Charlie have?
- How much does Bryan 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 Bryan has = 4 u
Amount that Charlie has = 4 u + 150
Total amount that Charlie, Bryan and Adam
= 1 u + 4 u + 4 u + 150
= 9 u + 150
9 u + 150 = 1680
9 u = 1680 - 150 = 1530
9 u = 1530
1 u = 1530 ÷ 9 = 170
Amount that Charlie has
= 4 u + 150
= 4 x 170 + 150
= 680 + 150
= $830
(b)
Amount that Bryan has
= 4 u
= $680
(c)
Amount that Adam has
= 1 u
= $170
Answer(s): (a) $830; (b) $680; (c) $170