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The school store sells midville high t-shirts for $12 each and midville high gym shorts for $9 a pair. one afternoon they sold a total of 53 t-shirts and pairs of shorts for a total of $570. how many t-shirts did they sell and how many pairs of shorts did they sell?

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upandover
Hi there!

In order to solve this problem, we'll need to set up a system of equations. We will use the variable x  to represent the number of t-shirts, and the variable y to represent the number of shorts.

x + y = 53

This ^^ equation represents the total amount of t-shirts and shorts sold.

12x + 9y = 570

This ^^ equation represents the total amount of money that was made from selling the t-shirts and shorts.

Now, let's solve the first equation for y:

x + y = 53
y = 53 - x

Then, we'll plug in the value of y that we have just found into the second equation:

12x + 9y = 570
12x + 9(53 - x) = 570
12x + 477 - 9x = 570
3x + 477 = 570
3x = 93
x = 31

Therefore, we know that 31 t-shirts were sold at a price of $12 each. In order to solve for y, the shorts, we'll take the value of x and plug it back into the first equation.

31 + y = 53
y = 22

Therefore, we know that 31 t-shirts were sold at a price of $12 each and 22 pairs of shorts were sold at a price of $9 each. 

Hope this helps!! :)
If there's anything else that you are needing help with, please feel free to reach out!
shubhamchouhanvrVT

There will be 22 pairs of shorts were sold at a price of $9 each.

What is an equation?

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

In order to solve this problem, we'll need to set up a system of equations. We will use the variable x  to represent the number of t-shirts, and the variable y to represent the number of shorts.

x   +   y   =   53

This given equation represents the total amount of t-shirts and shorts sold.

12x   +    9y   =    570

This given equation represents the total amount of money that was made from selling the t-shirts and shorts.

Now, let's solve the first equation for y:

x    +    y   =    53

y    =    53   -    x

Then, we'll plug in the value of y that we have just found into the second equation:

12x   +    9y    =    570

12x   + 9 (  53 -  x )  =  570

12x   +   477  - 9x    =  570

3x   +   477  =   570

3x   =   93

x   =    31

Therefore, we know that 31 t-shirts were sold at a price of $12 each. In order to solve for y, the shorts, we'll take the value of x and plug it back into the first equation.

31   +   y   =    53

y    =    22

Therefore, we know that 31 t-shirts were sold at a price of $12 each and 22 pairs of shorts were sold at a price of $9 each.

To know more about equations follow

https://brainly.com/question/2972832

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