Question

The Lone Star Shipping Company charges $14 plus $2 a pound to ship an overnight package. Discount Shipping Company charges $20 plus $1.50 a pound to ship an overnight package. For what weight is the charge the same for the two companies?

Answer 1

Answer:

12 pound

Step-by-step explanation:

Let $x$ be the weight of the package.

For Lone Star Shipping, the cost will be:

$2x + 14$

For Discount Shipping Company, the cost will be:

$1.5x + 20$

We hence equate these two expressions equal to each other, since the cost should be same.

$2x + 14 = 1.5x + 20 \\2x - 1.5x = 20 -14\\0.5x = 6\\x = 6 \div 0.5\\x = 12$