Question 1043247
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For a school play, students tickets cost 40 cents and adults tickets were 75 cents .the total receipts for 90 tickets were $46.50 .how many of each kind were sold ?
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<pre>
  x +   y =   90,   (1)   ( x is the number of students' tickets )
40x + 75y = 4650.   (2)   ( y is what?)

Multiply the first equation by 40 (both sides). You will get an equivalent system

40x + 40y = 3600,   (1')
40x + 75y = 4650.   (2')

Now distract equation (1') from equation (2'). You will get a single equation for y:

35y = 4650 - 3600,  or

35y = 1050.

Hence, y = {{{1050/35}}} = 30.

Thus the number of adults' tickets is 30.

Now find the number of students' tickets.
</pre>

Solved.


The method I applied here is called the elimination method.


The substitution method is also applicable. You can do it on your own.


If you want to extend your knowledge, read the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF = http://www.algebra.com/algebra/homework/coordinate/lessons/Solution-of-the-lin-system-of-two-eqns-by-the-Subst-method.lesson>Solution of a linear system of two equations in two unknowns by the Substitution method</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF = http://www.algebra.com/algebra/homework/coordinate/lessons/Solution-of-the-lin-syst-of-two-eqns-with-two-unknowns-Elimination-method.lesson>Solution of a linear system of two equations in two unknowns by the Elimination method</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =http://www.algebra.com/algebra/homework/coordinate/lessons/Solution-of-the-lin-syst-of-two-eqns-with-two-unknowns-using-det.lesson>Solution of a linear system of two equations in two unknowns using determinant</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =http://www.algebra.com/algebra/homework/coordinate/lessons/Geom-interpret-of-the-lin-system-of-two-eqns-with-two-unknowns.lesson>Geometric interpretation of a linear system of two equations in two unknowns</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =http://www.algebra.com/algebra/homework/coordinate/lessons/Solving-word-probs-using-linear-systems-of-two-eqns-with-two-unknowns.lesson>Solving word problems using linear systems of two equations in two unknowns</A> 

in this site.