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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?

At the movie theater child t admission is $5.90 and adult admission is $9.40.on thursday-example-1
User Bialy
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1 Answer

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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=(-192.5)/(-3.5) \\ \\ x=55 \end{gathered}

The value of x is 55

Then, the number of child tickets is 55
User Dashsa
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