3 children have a total of $1980.
Adam has $410 more than Charlie.
Charlie has 2 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 = 2 u
Amount that Adam has = 2 u + 410
Total amount that Adam, Charlie and Bryan
= 1 u + 2 u + 2 u + 410
= 5 u + 410
5 u + 410 = 1980
5 u = 1980 - 410 = 1570
5 u = 1570
1 u = 1570 ÷ 5 = 314
Amount that Adam has
= 2 u + 410
= 2 x 314 + 410
= 628 + 410
= $1038
(b)
Amount that Charlie has
= 2 u
= $628
(c)
Amount that Bryan has
= 1 u
= $314
Answer(s): (a) $1038; (b) $628; (c) $314