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Ross needs to have a procedure done, and since he is over 65 he is on Medicare. Medicare says that according to their plan the allowed amount is 7/ 8 of what the doctors office charges. Of that allowed amount they will pay 3 /4 and Ross will be out of pocket 1 /4 . If Ross had to pay $262.50, how much did the office want to charge for the procedure?

USA Test Prep Answer is X=$1,200

Answer :

znk

Answer:

[tex]\large \boxed{\$1200.00}[/tex]

Step-by-step explanation:

              Let the office charge  = x

     Amount paid by Medicare = ⅞x

Amount paid by Ross = ¼(⅞x) = $262.50

 

Solve for x

[tex]\begin{array}{rcrl}\dfrac{1}{4} \left(\dfrac{7}{8}x \right ) & = & \$262.50 & \\\dfrac{7}{32}x & = & \$262.50 & \text{Multiplied the fractions}\\\\7x & = & \$8400.00 & \text{Multiplied each side by 32}\\x & = & \mathbf{\$1200.00} & \text{Divided each side by 7}\\\end{array}\\\text{The office wanted to charge } \large \boxed{\mathbf{\$1200.00}}[/tex]

Check:

[tex]\begin{array}{rcl}\dfrac{1}{4} \left(\dfrac{7}{8}\times \$1200.00 \right ) & = & \$262.50\\\\\dfrac{1}{4} \left(\$1050.00 \right ) & = & \$262.50\\\\\$262.50 & = & \$262.50\\\end{array}[/tex]

OK.

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