Write a linear system of equations that can be used to solve these problems. Then, solve to get your final answer.

Question

3. The school that Kevin goes to is selling tickets to a fieldtrip. On the first day of ticket sales, the school sold 3 adult tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 adult tickets and 2 child tickets. Find the price of an adult ticket and the price of a child ticket

Answer 1

First of all define your unknowns

let the cost of an adult ticket be x
let the cost ofa child ticket be by

Now translate your English sentences into math:
"first day of ticket sales, the school sold 3 adult tickets and 1 child ticket for a total of $38"
----> 3x + y = 38

"..$52 on the second day by selling 3 adult tickets and 2 child tickets"
---> 3x+2y=52

easiest way is to subtract the first from the 2nd
---> 0 + y = 14
sub that back into the first equation to get the x

Quite easy, right ?