Linear Equation problem

Question

At the movie theatre, child admission is $6.30 and adult admission is $9.80. On Sunday, three times as many adult tickets as child tickets were sold, for a total sales of $1249.50. How many child tickets were sold that day?

Answer 1

Let x = the number of children's tickets sold

3x = the number of adult tickets sold

 

x(6.30) + 3x(9.80) = 1249.50

 

Now, solve this linear equation for x. If you like, you can multiply both sides of the equation by 100 to clear the decimals

 

630x + 3x(980) = 124,950