Question

Eric wants to send a package to his mother. If he chooses UPS, the fixed express fee is 10 dollars and each kilogram costs 2 dollars. For Fedex, the fixed fee is 20 dollars and each kilogram costs only 1 dollar. If the total costs of the two options are the same, how many kilogram of package does Ericsend? Write a system of equations in order to solve this problem.

Answer 1

10kg

Explanation:

For UPS;

express fee = $10

If one kg costs $2, then x kg of package will coat $2x

Total cost of shipping xkg of package will be 10+2x

For FedEx;

Fixed express fee = $20

If one kg costs $1, then x kg of package will coat $1x

Total cost of shipping x kg of package is 20+x

If the total costs of the two options are the same, then;

10+2x = 20+x

2x-x = 20-10

x = 10.

Hence Eric sent 10kg of package