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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​

Respuesta :

Answer:

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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