3 children have a total of $1820.
Adam has $500 more than Bryan.
Bryan has 5 times as much as Charlie.
- How much does Adam have?
- How much does Bryan have?
- How much does Charlie have?
(a)
Choose the person with least money to be 1 u.
Amount that Charlie has = 1 u
Amount that Bryan has = 5 u
Amount that Adam has = 5 u + 500
Total amount that Adam, Bryan and Charlie
= 1 u + 5 u + 5 u + 500
= 11 u + 500
11 u + 500 = 1820
11 u = 1820 - 500 = 1320
11 u = 1320
1 u = 1320 ÷ 11 = 120
Amount that Adam has
= 5 u + 500
= 5 x 120 + 500
= 600 + 500
= $1100
(b)
Amount that Bryan has
= 5 u
= $600
(c)
Amount that Charlie has
= 1 u
= $120
Answer(s): (a) $1100; (b) $600; (c) $120