Question

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A school bought 30 identical desks on sale. The original price, p, of each desk was reduced by $17. Altogether the school paid $2010 for the desks.
What linear equation models this situation? What was the original price of the desk?

Answer 1

1.) Solve the equation to get the original price; Where p = original price
   30(p - 17) = 2010
    30p - 510 = 2010
            30p = 2010 + 510 (transferred -510 to the right side of the equation)
       30p/30 =  2520/30 (divided both sides by 30)
                p = 84
2.) Substitute the values to check
 30(84 - 17) = 2010
        30(67) = 2010
Therefore, the linear equation is 30(p - 17) = 2010;
Therefore, the original price of each desk is $84.