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A pharmaceutical company sells bottles of 500 calcium tablets in two dosages: 250 milligram and 500 milligram. Last month, the company sold 2,200 bottles of 250-milligram tablets and 1,800 bottles of 500-milligram tablets. The total sales revenue was $39,200. The sales team has targeted sales of $44,000 for this month, to be achieved by selling of 2,200 bottles of each dosage.

Assuming that the prices of the 250-milligram and 500-milligram bottles remain the same, the price of a 250-milligram bottle is $
and the price of a 500-milligram bottle is $

1 Answer

3 votes

Answer:

the price of a 250-milligram bottle is $8

he price of a 500-milligram bottle is $12

Explanation:

Let,

x = price of a 250 mg dosage

y = price of a 500 mg dosage

Last month, the company sold 2,200 bottles of 250-milligram tablets and 1,800 bottles of 500-milligram tablets. The total sales revenue was $39,200

2200*x + 1800*y = 39200

The sales team has targeted sales of $44,000 for this month, to be achieved by selling of 2,200 bottles of each dosage.

2200*x + 2200*y = 44000

The system of equations result

2200*x + 1800*y = 39200

2200*x + 2200*y = 44000

We can easily solve it by graphing both equations, please see attached image

The answer is

x = $8

y = $12

A pharmaceutical company sells bottles of 500 calcium tablets in two dosages: 250 milligram-example-1
User Yayan
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