At the movie theatre, child admission is $5.70 and adult admission is $9.40. On Wednesday, 173tickets were sold for a total sales of $1345.00. How many child tickets were sold that day?

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14-05-2019
Mathematics

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At the movie theatre, child admission is $5.70 and adult admission is $9.40. On Wednesday, 173tickets were sold for a total sales of $1345.00. How many child tickets were sold that day?

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luisejr77 luisejr77 · Answer 1 · 2019-05-14T01:24:47+02:00

Answer: 76 child tickets were sold that day.

Step-by-step explanation:

You need to set up a system of equations.

Let be "c" the number of child tickets sold that Wednesday and "a" the number of adult tickets sold that Wednesday.

Then:

[tex]\left \{ {{a+c=173} \atop {9.40a+5.70c=1345.0}} \right.[/tex]

Using the Method of Elimination, you can multiply the first equation by -9.40, then add both equations and finally solve for "c":

[tex]\left \{ {{-9.40a-9.40c=-1626.2} \atop {9.40a+5.70=1345.0}} \right.\\..................................\\-3.7c=-281.2\\\\c=\frac{-281.2}{-3.7}\\\\c=76[/tex]