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# Plato Classroom Question #17

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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 $$2200$$ bottles of $$250$$-milligram tablets and $$1800$$ bottles of $$500$$-milligram tablets. The total sales revenue was $$39200$$. The sales team has targeted sales of $$44000$$ for this month, to be achieved by selling of $$2200$$ bottles of each dosage.

Assuming that the prices of the -milligram and -milligram bottles remain the same, the price of a $$250$$-milligram bottle is $$\boxed{\color{white}\text{Ans}}$$ and a $$500$$-milligram bottle is $$\boxed{\color{white}\text{Ans}}$$.

Jan 26, 2018
edited by SpaceModo  Jan 26, 2018

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x = 500mg  price

y= 250 mg price

1800x + 2200y =39200

and

2200x + 2200y =44000

Subtract second from first equation

-400x = -4800     x = 12

So 12 bucks for 500 mg bottle

1800(12) + 2200y = 39200         y= 8     \$ 8 for 250 mg tab bottle

Jan 26, 2018