3 children have a total of $3400.
Charlie has $150 more than Bryan.
Bryan has 6 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 = 6 u
Amount that Charlie has = 6 u + 150
Total amount that Charlie, Bryan and Adam
= 1 u + 6 u + 6 u + 150
= 13 u + 150
13 u + 150 = 3400
13 u = 3400 - 150 = 3250
13 u = 3250
1 u = 3250 ÷ 13 = 250
Amount that Charlie has
= 6 u + 150
= 6 x 250 + 150
= 1500 + 150
= $1650
(b)
Amount that Bryan has
= 6 u
= $1500
(c)
Amount that Adam has
= 1 u
= $250
Answer(s): (a) $1650; (b) $1500; (c) $250