Question 991816
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1) For a Saturday matinee, adult tickets cost $6.50 and kids under 12 pay only $5.00. If 110 tickets are sold for a total of $625, how many of the tickets were adult tickets 
and how many were sold to kids under 12? 
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Let &nbsp;<B>A</B>&nbsp; be the number of adult tickets sold, &nbsp;and &nbsp;<B>C</B>&nbsp; be the number of children tickets sold.


Then you have the system of two equations


{{{system(A + C = 110,
6.5*A + 5*C = 625)}}}.


Do you understand how this system was obtained? &nbsp;Why the system does model the problem?


If &nbsp;<U>YES</U>, &nbsp;then next step is to solve the system.


For it, &nbsp;express &nbsp;A&nbsp; from the first equation, &nbsp;A = 110 - C, &nbsp;and substitute it into the second equation.


Then you get the single equation for the unknown &nbsp;C, &nbsp;which you easily can solve. 


When you will get the value of &nbsp;C, &nbsp;distract it from &nbsp;110 to get the solution for &nbsp;A.


Is it clear to you?


In the section &nbsp;"<U>Comments from student</U>"&nbsp; please write me whether you were able to complete the solution.


Thank you.
Good luck.