Question

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?

Answer 1

Answer: 76 child tickets were sold that day.

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=(-281.2)/(-3.7)\\\\c=76`