The volleyball team at West View High School is comparing T-shirt companies where they can purchase their practice shirts. The two companies, Shirt Box and Just Tees, are represented by this system of equations where x is the number of T-shirts and y is the total cost of the T-shirts.
y = 10.5x
y = 7.5x + 30
How many T-shirts would the volleyball team need to purchase from each company for the total cost to be equal?
For the total cost to be the same for both companies, the volleyball team would need to purchase T-shirts from each company for a total of $ for each company.
Shirtbox: y=7.5x + 30
Just Tees: y= 10.5x
Purchase 10 T-Shirts
Total of $105
To find the number of T-shirts the volleyball team needs to purchase from each company for the total cost to be equal, we need to set the two equations equal to each other and solve for x.
The two equations are:
y = 10.5x
y = 7.5x + 30
Setting them equal to each other:
10.5x = 7.5x + 30
Simplifying the equation:
10.5x - 7.5x = 30
3x = 30
x = 30/3
x = 10
So, the volleyball team would need to purchase 10 T-shirts from each company for the total cost to be equal.
To find the total cost for each company, substitute the value of x back into one of the equations:
y = 10.5x
y = 10.5 * 10
y = 105
Therefore, the volleyball team would need to purchase 10 T-shirts from each company for a total cost of $105 for each company.
10.5x = 7.5x + 30
Solve for x, then insert into one of the two equations to find y.