Question 1208613
<br>
x = # of adult tickets
y = # of student tickets<br>
The given information gives us these two equations:<br>
{{{x+y=276}}}  the total number of tickets sold was 276<br>
{{{6x+4.50y=1632}}}  the total cost of the tickets, at $6 each for adults and $4.50 each for students, was $1632<br>
In both of the responses you have received from other tutors, the solution of the problem is set up using substitution -- solving the first equation for either x or y and substituting in the second.<br>
When both equations are given in this "ax+by=c" form, I think a solution using elimination is easier.<br>
Multiply the first equation by 6 so that both equations contain the term "6x":<br>
{{{6x+6y=1656}}}
{{{6x+4.5y=1632}}}<br>
Now subtract the second equation from the first, eliminating variable x, and solve the resulting equation for y:<br>
{{{1.5y=24}}}
{{{y=24/1.5=16}}}<br>
The number of student tickets sold was y = 16.<br>
ANSWER: 16<br>
CHECK:
The number of student tickets was 16, so the number of adult tickets was 276-16 = 260.
260(6)+16(4.5)=1560+72=1632<br>