3 children have a total of $2930.
Charlie has $270 more than Bryan.
Bryan has 3 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 = 3 u
Amount that Charlie has = 3 u + 270
Total amount that Charlie, Bryan and Adam
= 1 u + 3 u + 3 u + 270
= 7 u + 270
7 u + 270 = 2930
7 u = 2930 - 270 = 2660
7 u = 2660
1 u = 2660 ÷ 7 = 380
Amount that Charlie has
= 3 u + 270
= 3 x 380 + 270
= 1140 + 270
= $1410
(b)
Amount that Bryan has
= 3 u
= $1140
(c)
Amount that Adam has
= 1 u
= $380
Answer(s): (a) $1410; (b) $1140; (c) $380