3 children have a total of $1980.
Adam has $290 more than Charlie.
Charlie has 6 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 = 6 u
Amount that Adam has = 6 u + 290
Total amount that Adam, Charlie and Bryan
= 1 u + 6 u + 6 u + 290
= 13 u + 290
13 u + 290 = 1980
13 u = 1980 - 290 = 1690
13 u = 1690
1 u = 1690 ÷ 13 = 130
Amount that Adam has
= 6 u + 290
= 6 x 130 + 290
= 780 + 290
= $1070
(b)
Amount that Charlie has
= 6 u
= $780
(c)
Amount that Bryan has
= 1 u
= $130
Answer(s): (a) $1070; (b) $780; (c) $130