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19 October, 14:00

sports warehouse had a sale on two models of baseball gloves. Model A sold for $30.00, and model B sold for $45.25. A total of 52 gloves were sold. The total amount of sales earned on the gloves, excluding tax, was $2,078.50. How many model B baseball gloves were sold

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  1. 19 October, 14:01
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    18 model A gloves and 34 model B gloves

    Step-by-step explanation:

    Set up 2 equations based on the given information

    Let 'x' represent the number of Model A gloves sold

    Let 'y' represent the number of Model B gloves sold

    Then ...

    $30x + $45.25y = $2,078.50 represents the total sold in dollars

    x + y = 52 represents the total number of gloves sold

    Solve the second equation for either variable ...

    x = 52 - y

    Now plug this into the first equation ...

    $30 (52 - y) + $45.25y = $2,078.50 {x became 52 - y}

    Now solve for y ...

    $1,560 - $30y + $45.25y = $2,078.50

    $15.25y = $518.50 (combine y terms, subtract $1,560 from both sides)

    y = 34 (divide both sided by $15.25, dollar signs cancel out)
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