Problema Solution

Dover Photography Studio is taking graduation portraits for students at local schools. Eighth graders from Dover Elementary School ordered 54 basic portrait packages and 86 deluxe portrait packages, for a total of $10,788. The seniors at Clarksville High ordered 55 basic portrait packages and 93 deluxe portrait packages, for a total of $11,442. How much does each type of package cost?

Answer provided by our tutors

let


b = the cost of the basic portrait package


d = the cost of the deluxe portrait package


Eighth graders from Dover Elementary School ordered 54 basic portrait packages and 86 deluxe portrait packages, for a total of $10,788:


54b + 86d = 10788


The seniors at Clarksville High ordered 55 basic portrait packages and 93 deluxe portrait packages, for a total of $11,442:


55b + 93d = 11442


by solving the system of equations:


54b + 86d = 10788


55b + 93d = 11442


we find:


b = $66


d = $84


click here to see the step by step solution of the system of equations:


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the basic package costs $66.


the deluxe package costs $86.