Algebra Problem

Question

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 4 children tickets for a total of $111. The school took in $276 on the second day by selling 12 senior citizen tickets and 2 children tickets. Find the price of a senior citizen ticket.

Answer 1

let the price of a senior ticket = s

let the price of a child's ticket  = c

revenue = amount from senior ticket sales+ amount from sales of children's tickets

day 1  3 s + 4 c = $111

day 2  12 s + 2 c = $276

 

we have enough information to create 2 equations we need to solve simultaneously. There are 4 different ways to solve these equations. for this one we will use elimination.

 

multiply the 2nd equation by 2 then subtract from the first. this will eliminate the c and give us an equation with just one unknown, s

 

solve for s,

21s = 441  so s = $21 the price of the senior ticket = the answer