Question

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

Answer 1

The answer to A is A or y=12x + 3.

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

Explanation:

Answer 2

`5\ shirts`

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

`y=12x+3` ------> equation A

Shirts PLUS

`y=8x+23` ------> 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

`12x+3=8x+23`

`12x-8x=23-3`

`4x=20`

`x=5\ shirts`