Larry has two choices for getting t-shirts screen printed.
· Company A charges $50 to set up the artwork.
· Company B charges $30 to set up the artwork.
· Company A charges $2.50 per shirt.
· Company B charges $3.50 per shirt.
How many shirts would need to be printed for Company A’s total cost to be equivalent to Company B’s total cost?
let number of t-shirts be t
3.5t + 30 = 2.5t + 50
solve for t
20
To find out how many shirts would need to be printed for Company A's total cost to be equivalent to Company B's total cost, we need to set up an equation.
Let's assume the number of shirts to be printed is represented by 'x'.
For Company A:
Total cost = (cost per shirt * number of shirts) + setup cost
Total cost = (2.50 * x) + 50
For Company B:
Total cost = (cost per shirt * number of shirts) + setup cost
Total cost = (3.50 * x) + 30
Since we want the total costs to be equal, we can set the two equations equal to each other and solve for 'x':
(2.50 * x) + 50 = (3.50 * x) + 30
Subtract 2.50x and 30 from both sides:
20 = 1.00x
Divide both sides by 1.00:
x = 20
Therefore, 20 shirts would need to be printed for Company A's total cost to be equivalent to Company B's total cost.
To determine the number of shirts that need to be printed for Company A’s total cost to be equivalent to Company B’s total cost, we can set up an equation based on the given information. Let's say the number of shirts that need to be printed is "x".
For Company A, the total cost includes the setup fee ($50) plus the cost per shirt ($2.50) multiplied by the number of shirts (x). So, the total cost for Company A would be 50 + 2.50x.
For Company B, the total cost includes the setup fee ($30) plus the cost per shirt ($3.50) multiplied by the number of shirts (x). So, the total cost for Company B would be 30 + 3.50x.
To find the number of shirts that would make the total cost for both companies equal, we can set up the equation:
50 + 2.50x = 30 + 3.50x
Now, we can solve this equation to find the value of "x".
Subtracting 2.50x from both sides:
50 = 30 + 3.50x - 2.50x
Combining like terms:
50 = 30 + 1x
Subtracting 30 from both sides:
20 = 1x
Dividing both sides by 1:
x = 20
Therefore, 20 shirts would need to be printed for Company A’s total cost to be equivalent to Company B’s total cost.