Answer to Question #150666 in Algebra for Matthew Roberts

Question

Quect Shipping Company charges a flat fee of $6 plus an additional $0.14 per pound to ship a package. Coraz Shipping Company charges a flat fee of $12 plus an additional $0.10 per pound. How many pounds would a package weigh that would cost the same at both companies.

Answer 1

For first company cost is:

$c_1=6+0.14x$,

where $x$ - weight of a package in pounds.

For second company cost is:

$c_2=12+0.1x$.

If costs are the same, then:

$6+0.14x=12+0.1x;\\ 0.04x=6;\\ x=150.$

Answer: 150 pounds