A restaurant manager wants to purchase 200200 sets of dishes. one design costs ​$1010 per​ set, while another costs ​$5555 per set. if she w

Question

A restaurant manager wants to purchase 200200 sets of dishes. one design costs ​$1010 per​ set, while another costs ​$5555 per set. if she wants to use her entire budget of ​$78507850​, how many of each design should be​ ordered?

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    2021-10-13T20:58:06+00:00

    Unless it was a restaurant for the king ….. i am going to assume your 
    200200 is 200
    $1010 is $10
    $5555 is $55
    $78507850 is $7850 

    Let x be the number of $10 design set
    $10 design set = x
    $55 design set = 200 – x

    10x + 55(200 – x) = 7850
    10x + 11000 – 55x = 7850
    55x – 10x = 11000 – 7850
    45x = 3150
    x = 70
    200 – 70 = 130

    70 of the $10 design and 130 of the $55 design

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