A high school's student council wants to purchase spirit shirts for its upcoming homecoming event. Purchases of 25 shirts or less cost $20 per shirt, plus $20 shipping and handling. When more than 25 shirts are ordered, the price is $15 per shirt, plus $15 shipping and handling. If $660 was spent on shirts, how many shirts did the student council order?

Respuesta :

Answer:

43 shirts

Step-by-step explanation:

$660- $15 = $645, the amount spent on shirts.

$645/15= 43

The total number of shirts ordered by the student council is 43.

What is linear equation in one variable?

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

Let the total number of shirt ordered by the student council be x.

According to the given question.

Cost of one shirt when the count of shirts are less than 25 is $20.

And, the shipping  and handling charge when the count of shirts are less than 25 is $20.

Also,

Cost of one shirt when the count of shirts are more than 25 is $15.

And, the shipping and handling charge when the count of shirts are more than 25 is $15.

Since,

Total amount of money spent on shirts is $660

⇒ More than 25 shirts are ordered

Therefor, for the given scenario we have a linear equation in one variable.

[tex]15x +$15 = 660[/tex]

Solve the above linear equation in one variable.

[tex]15x + 15 = 660[/tex]

⇒ [tex]x + 1= \frac{660}{15}[/tex]

⇒ [tex]x + 1 = 44[/tex]

⇒ [tex]x = 44-1[/tex]

⇒ [tex]x = 43[/tex]

Therefore, total 43 shirts, the student council ordered.

Find out more information about linear equation in one variable here:

https://brainly.com/question/17139602

#SPJ3