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olya-2409 [2.1K]
3 years ago
14

A pharmaceutical company sells bottles of 500 calcium tablets in two dosages: 250 milligram and 500 milligram. Last month, the c

ompany 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 $ .
Mathematics
2 answers:
castortr0y [4]3 years ago
7 0

Answer:

The price of 250mg bottle is $8 and the price of 500mg bottle is $12.

Step-by-step explanation:

The company sold last month 250 mg tablets = 2,200 bottles

Bottle of 500 mg tablets = 1,800 bottles

Total sales revenue = $39,200

This month sales team has targeted sales of $44,000 for this month.

They have target of 2,200 bottles of 250 mg tablets that is same as last month.

and 2,200 bottles of 500 mg tablets = 2,200 - 1,800 = 400 more bottles

Now we calculate the price of 500mg tablets by subtracting last month's revenue from this month's target.

price of 400 bottles of 500mg tablets = 44,000 - 39,200 = $4,800

Therefore, the price of one bottle of 500 mg tablet is = \frac{4,800}{400} = $12 (one bottle of 500mg)

Last month they sold 1,800 bottles, so the revenue generated by 500mg bottles = 1,800 × 12 = $21,600

and revenue generated by 2200 bottles of 250mg tablets = 39,200 - 21,600 = $17,600

Therefore, the price of one bottle of 250mg tablets = 17,600 ÷ 2,200 = $8

The price of a 250mg bottle is $8 and the price of a 500mg bottle is $12.

Svetach [21]3 years ago
3 0
X = 250 mg tabs
y = 500 mg tabs

2200x + 1800y = 39200....multiply by -1
2200x + 2200y = 44000
--------------------------------
-2200x - 1800y = - 39200 (result of multiplying by -1)
2200x + 2200y = 44000
--------------------------------add
400y = 4800
y = 4800/400
y = 12...... the 500 mg tabs (y) costs $ 12 per bottle

2200x + 2200y = 44000
2200x + 2200(12) = 44000
2200x + 26400 = 44000
2200x = 44000 - 26400
2200x = 17600
x = 17600/2200
x = 8 <== the 250 mg tabs (x) costs $ 8 per bottle
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