Respuesta :
Answer:
The store sold 43 pro NSL soccer balls.
The store sold 27 limited Edition soccer balls.
Step-by-step explanation:
Let x represent number of limited Edition soccer balls and y represent the number of pro NSL soccer balls.
We have been given that a sports store sells a total of 70 soccer balls in one month. We can represent this information in an equation as:
[tex]x+y=70...(1)[/tex]
Cost of x limited Edition soccer balls: [tex]65x[/tex]
Cost of y pro NSL soccer balls: [tex]15x[/tex]
We are also told that store collected a total of $2,400. We can represent this information in an equation as:
[tex]65x+15y=2400...(2)[/tex]
From equation (1), we will get:
[tex]x=70-y[/tex]
Substituting this value in equation (2), we will get:
[tex]65(70-y)+15y=2400[/tex]
[tex]4550-65y+15y=2400[/tex]
[tex]4550-50y=2400[/tex]
[tex]4550-4550-50y=2400-4550[/tex]
[tex]-50y=-2150[/tex]
[tex]\frac{-50y}{-50}=\frac{-2150}{-50}[/tex]
[tex]y=43[/tex]
Therefore, the store sold 43 pro NSL soccer balls.
Now, we will substitute [tex]y=43[/tex] in equation (1) to solve for x:
[tex]x+43=70[/tex]
[tex]x+43-43=70-43[/tex]
[tex]x=27/tex]
Therefore, the store sold 27 limited Edition soccer balls.
There are stores that sold 27 limited Edition soccer balls and 43 pro NSL soccer balls sold.
Given
A sports store sells a total of 70 soccer balls in one month and collects a total of $2,400.
A limited Edition soccer ball is $65 and a Pro NSL soccer ball is $15.
Let, the x represent the number of limited Edition soccer balls and y represent the number of pro NSL soccer balls.
A sports store sells a total of 70 soccer balls in one month and collects a total of $2,400.
[tex]\rm x+y=70[/tex]
A limited Edition soccer ball is $65 and a Pro NSL soccer ball is $15.
[tex]\rm 65x+15y=2400[/tex]
From equation 1
[tex]\rm x+y=70\\\\x=70-y[/tex]
Substitute the value of x in equation 1
[tex]\rm 65x+15y=2400\\\\\rm 65(70-y)+15y=2400\\\\4550-65y+15y=2400\\\\-50y=2400-4550\\\\-50y=-2150\\\\y=\dfrac{-2150}{-50}\\\\y=43[/tex]
Substitute the value of y in equation 1
[tex]\rm x+y=70\\\\x+43=70\\\\x=70-43\\\\x=27[/tex]
Hence, there are stores sold 27 limited Edition soccer balls and 43 pro NSL soccer balls sold.
To know more about Equation click the link given below.
https://brainly.com/question/25771077
