Question

at the movie theatre, child admission is $6.20 an adult admission is $9.40. On Thursday, three times as many adult tickets as child tickets were sold, for a total sales of $1376.00. How many child tickets were sold that day?​

Answer 1

Answer: 40 tickets.

Step-by-step explanation:

Let's call:

x: the number of child tickets sold that day.

y:  the number of adult tickets sold that day.

Based on the information given in the problem, you can make the following system of equations:

$\left \{ {{y=3x} \atop {6.20x+9.40y=1376}} \right.$

You must use the method of substitution to solve the system of equations:

Substitute y=3x into the second equation and solve for x:

$6.20x+9.40y=1376\\6.20x+9.40(3x)=1376\\6.20x+28.2x=1376\\34.4x=1376\\x=40$

Then the answer is: 40 tickets.