Please help me with my problem! I forgot how to do this!

Question

The school joe goes to sells tickets. first day sells 13 senior and 7 child for 135. On the second day 1 senior and 3 child tickets for $35. How much is the price of senior and child ticket.

Answer 1

After reading and understanding the problem, assign variables.  If possible, try to assign a variable(s) to the value the problem asks you to find.

 

  Let:

    S = price of a senior ticket

    C = price of a child ticket

  (note: often the problem gives the price and asks for the number)

  (another note:  the number*(price per ticker)   gives the money collected)

 

Translate the words in the story to math expressions:

    "13 senior and 7 child for 135"       means      13S + 7C = 135

    "1 senior and 3 child tickets for $35"    means     1S + 3C = 35

    "How much is the price of senior and child ticket"    means     report S, C

 

Now, the easy math:

   Use one equation to solve for one variable then substitute in the other equation.

     S = 35 -3C

 

     13(35-3C) + 7C = 135

         455 - 39C + 7C = 135

             -32C = -320

                 C = 10

 

   Use that value in either equation to solver for the other variable   (now, which equation is easier??)

          S + 3(10) = 35

            S = 5 

Checking (very important):

  Is 13(5) + 7(10) = 135   ?

         65 + 70 = 135   ?

           135 = 135   ?  yes

 

  IS  5 + 3(10) = 35   ?

           35  =  35  ?   yes