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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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Q: 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?
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