Problema Solution

A business shipped 114 packages one day. Customers are charged $4.50 for each standard-delivery package and $7.50 for each express-delivery package. Total shipping charges for the day were $591.00. How many of each kind of package were shipped?

Answer provided by our tutors

let


s = the number of standard-delivery packages

e = the number of express-delivery packages


a business shipped 114 packages one day


s + e = 114


total shipping charges for the day were $591.00


shipping charge for s standard-delivery packages + shipping charge for e express-delivery packages = total shipping charges


4.50s + 7.50e = 591


by solving the system of equations


s + e = 114

4.50s + 7.50e = 591


we find


s = 88 packages


e = 26 packages


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there were 88 standard-delivery packages and 26 express-delivery packages delivered.