3 children have a total of $2940.
Charlie has $490 more than Adam.
Adam has 2 times as much as Bryan.
- How much does Charlie have?
- How much does Adam 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 Adam has = 2 u
Amount that Charlie has = 2 u + 490
Total amount that Charlie, Adam and Bryan
= 1 u + 2 u + 2 u + 490
= 5 u + 490
5 u + 490 = 2940
5 u = 2940 - 490 = 2450
5 u = 2450
1 u = 2450 ÷ 5 = 490
Amount that Charlie has
= 2 u + 490
= 2 x 490 + 490
= 980 + 490
= $1470
(b)
Amount that Adam has
= 2 u
= $980
(c)
Amount that Bryan has
= 1 u
= $490
Answer(s): (a) $1470; (b) $980; (c) $490