3 children have a total of $2020.
Adam has $260 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 + 260
Total amount that Adam, Bryan and Charlie
= 1 u + 5 u + 5 u + 260
= 11 u + 260
11 u + 260 = 2020
11 u = 2020 - 260 = 1760
11 u = 1760
1 u = 1760 ÷ 11 = 160
Amount that Adam has
= 5 u + 260
= 5 x 160 + 260
= 800 + 260
= $1060
(b)
Amount that Bryan has
= 5 u
= $800
(c)
Amount that Charlie has
= 1 u
= $160
Answer(s): (a) $1060; (b) $800; (c) $160