My grandmother needs to find the best company to deliver a package. Company A charges a fee of $14 plus $7 per pound. Company B charges a fee $15 plus $6 per pound. At what weight will the companies charge the same amount and what is the equivalent cost

Answer 1

To find the weight at which the companies will charge the same amount, we can set up an equation:

Company A: Cost = $14 + $7x (where x is the weight in pounds)
Company B: Cost = $15 + $6x

Setting the costs equal to each other:
$14 + $7x = $15 + $6x
$7x - $6x = $15 - $14
$x = $1

So at a weight of 1 pound, both companies will charge the same amount.

To find the equivalent cost:
For Company A:
Cost = $14 + $7(1) = $14 + $7 = $21

For Company B:
Cost = $15 + $6(1) = $15 + $6 = $21

Therefore, at 1 pound, both companies will charge $21.