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Arisa [49]
3 years ago
10

At the movie theatre, child admission is $5.70 and adult admission is $9.40. On Wednesday, 173tickets were sold for a total sale

s of $1345.00. How many child tickets were sold that day?
Mathematics
1 answer:
Rasek [7]3 years ago
7 0

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:

\left \{ {{a+c=173} \atop {9.40a+5.70c=1345.0}} \right.

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

\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

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