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.

Question

Mathematics

Logan

21 December, 14:13

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.

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Answers (1)

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Aaron Bolton · 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