Question

You need to choose a shipping company. Ship fast charges $2.00 per package plus $1.00 per pound. Speedy Delivery charges $3.00 per package plus $0.50 per pound. For what package weight do both companies charge the same price? What is the equation for Fast Ship? And for Speedy delivery? Solve using equations.

Answer 1

Ship fast equation for n packages:
2n+(1)x
where x the weight of the packages
Speedy delivery equation for the number of packages:
3n+(0.50)x

The same price happened when:
2n+(1)x = 3n+(0.50)x
x - 0.5x=3n - 2n
x = n/0.5
x = 2n
when the package weight is 2 pounds