At the movie theater, child admission is $5.20 and adult admission is $8.60. on friday, 132 tickets were sold for a total sales of $931.20. how many tickets of each category were sold that day?

60 child tickets and 72 adult tickets

Step-by-step explanation:

Let x denote the number of child tickets sold and y the number of adult tickets sold. The problem involves solving the following system of linear equations; x+y=132 and 5.2x+8.6y=931.2. Using technology to solve this simultaneous equation yields; x= 60, y =72

For this case, we propose a system of two equations with two unknowns.

Let:

x: Represents the number of children's tickets

y: Represents the number of adult tickets

So, we clear x from the second equation:

x = 132-y

We replace in the first one.

72 adult tickets were sold.

60 tickets for children were sold

60 tickets for children

72 adult tickets

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: