3 children have a total of $3870.
Adam has $340 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 + 340
Total amount that Adam, Charlie and Bryan
= 1 u + 2 u + 2 u + 340
= 5 u + 340
5 u + 340 = 3870
5 u = 3870 - 340 = 3530
5 u = 3530
1 u = 3530 ÷ 5 = 706
Amount that Adam has
= 2 u + 340
= 2 x 706 + 340
= 1412 + 340
= $1752
(b)
Amount that Charlie has
= 2 u
= $1412
(c)
Amount that Bryan has
= 1 u
= $706
Answer(s): (a) $1752; (b) $1412; (c) $706