Shirts-2-Go sells t-shirts for a base price of $12 per shirt plus a fixed fee of $3 shipping and handling for the whole order. Shirts PLUS sells t-shirts for a base price of $8 per shirt plus a fixed fee of $23 shipping and handling for the whole order. Let x represent the number of shirts ordered and let y represent the total cost of the order. y = 12x + 3 y = 8x + 23 How many shirts would you have to purchase for the total cost to be the same at both companies? shirts

Respuesta :

Answer:

[tex]5\ shirts[/tex]

Step-by-step explanation:

Let

x------> the number of shirts ordered

y-----> the total cost of the order

we know that

The linear equations that represent each situation are

Shirts-2-Go

[tex]y=12x+3[/tex] ------> equation A

Shirts PLUS

[tex]y=8x+23[/tex] ------> equation B

To know how many shirts to purchase so that the total cost is the same in both companies, equate equation A and equation B

[tex]12x+3=8x+23[/tex]

[tex]12x-8x=23-3[/tex]

[tex]4x=20[/tex]

[tex]x=5\ shirts[/tex]

Answer:

The answer to A is A or y=12x + 3.  

The answer to B is B or y=8x + 23.

Step-by-step explanation: