Question

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