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How many exams are needed if 70 percent of patients pay 80 dollars an exam while 30 percent pay 100 dollars an exam to equal 210000 dollars?
For every 100 Patients the income is 70 × $80 + 30 × $100 = $8600
→ the average income per patient is $8600 ÷ 100 = $86
$210000 ÷ $86 = 2441 37/43 patients
As you can't have 37/43 of a patient, round up.
Therefore there must have been 2442 patients with:
1710 (= 70 10/407 % ≈ 70%) paying $80 each for a total of $136,800; and
732 (= 29 397/407 % ≈ 30%) paying $100 each for a total of $73,200
Giving a grand total of $136,800 + $73,200 = $210,000
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