The school that Shayna goes to is selling tickets to a spring musical. on the first day of ticket sales the school sold 10 senior citizen tickets and 4 child tickets for a total of $106. the school took in $84 on the second day by selling 2 senior citizen tickets and 8 child tickets. what is the price of each of one senior citizen ticket and one child ticket?

Okay so n is going to represent our first number. since the second number of five times greater than n, the second number will be represented as 5n. for us to figure out the two  numbers we need to have  the value of n first. this is going to be done by adding the two numbers together, n and 5n. it can be simplified as 6n, which the problem states is equal to 72. divide 72 by 6n and you can solve for n.  n+5n=726n=72n=(72/6)n=12  now that we know the value of n, we have to multiply 5 times 12 which equals 60. so our two numbers/integers are 12 and 60