Question

At the movie theater child t admission is $5.90 and adult admission is $9.40.on thursday127 tickets were sold for a total sales of 1001.30. How many hold tickets were sold that day?

Answer 1

Let x be the number of child tickets sold

Let y be the number of adult tickets sold

Amount received for the child tickets: 5.90x

Amount received for the adult tickets: 9.40y

Total sales of 1001.30:

$5.90x+9.40y=1001.30$

127 tickets were sold:

$x+y=127$

Use the two equations above as a system of equations, to solve it:

1. Solve y in the second equation.

$y=127-x$

2. Use the value you get in step 1 to substitute y in the first equation:

$5.90x+9.40(127-x)=1001.30$

3. Solve x:

$\begin{gathered} 5.90x+1193.8-9.40x=1001.30 \\ -3.5x+1193.8=1001.30 \\ -3.5x=1001.30-1193.8 \\ -3.5x=-192.5 \\ x=\frac{-192.5}{-3.5} \\ \\ x=55 \end{gathered}$

The value of x is 55

Then, the number of child tickets is 55