3 children have a total of $3380.
Charlie has $170 more than Bryan.
Bryan has 2 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 = 2 u
Amount that Charlie has = 2 u + 170
Total amount that Charlie, Bryan and Adam
= 1 u + 2 u + 2 u + 170
= 5 u + 170
5 u + 170 = 3380
5 u = 3380 - 170 = 3210
5 u = 3210
1 u = 3210 ÷ 5 = 642
Amount that Charlie has
= 2 u + 170
= 2 x 642 + 170
= 1284 + 170
= $1454
(b)
Amount that Bryan has
= 2 u
= $1284
(c)
Amount that Adam has
= 1 u
= $642
Answer(s): (a) $1454; (b) $1284; (c) $642