c + a + s = 29 (A)
a = 3c (B)
3c + 2a + 2s = 63 (C)
multiply (A) by two, and subtract from (C)
... this eliminates a and s
substitute back with the value of c to find a and s
You can buy 1 child's ticket, 1 adult's ticket and 1 senior citizen's ticket for a minor league baseball game for $29. Tickets for adults cost 3 times as much as tickets for children. A family of 3 children, 2 adults, and 2 senior citizens pays a total of $63 for tickets to the game. Find the prices of each type of ticket.
1 answer