Respuesta :
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
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
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 = [tex]\frac{4,800}{400}[/tex] = $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.