3 children have a total of $2980.
Adam has $460 more than Charlie.
Charlie has 4 times as much as Bryan.
- How much does Adam have?
- How much does Charlie have?
- How much does Bryan have?
(a)
Choose the person with least money to be 1 u.
Amount that Bryan has = 1 u
Amount that Charlie has = 4 u
Amount that Adam has = 4 u + 460
Total amount that Adam, Charlie and Bryan
= 1 u + 4 u + 4 u + 460
= 9 u + 460
9 u + 460 = 2980
9 u = 2980 - 460 = 2520
9 u = 2520
1 u = 2520 ÷ 9 = 280
Amount that Adam has
= 4 u + 460
= 4 x 280 + 460
= 1120 + 460
= $1580
(b)
Amount that Charlie has
= 4 u
= $1120
(c)
Amount that Bryan has
= 1 u
= $280
Answer(s): (a) $1580; (b) $1120; (c) $280