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A 40 milliliter 
(mL) bottle of pre-diluted tea tree oil contains a 
5% concentration of the active ingredient. If the seller charges 
$14.96 for the total amount of active ingredient in the bottle, what is the price per 
mL of the active ingredient?

A 4040 milliliter (mL) (\mathrm{mL}) bottle of pre-diluted tea tree oil contains a 5% 5 \% concentration of the active ingredient. If the seller charges $14.96 \$ 14.96 for the total amount of active ingredient in the bottle, what is the price per mL \mathrm{mL} of the active ingredient?

Full solution

Q. A 4040 milliliter (mL) (\mathrm{mL}) bottle of pre-diluted tea tree oil contains a 5% 5 \% concentration of the active ingredient. If the seller charges $14.96 \$ 14.96 for the total amount of active ingredient in the bottle, what is the price per mL \mathrm{mL} of the active ingredient?
  1. Calculate total active ingredient: Calculate the total amount of active ingredient in milliliters.\newline5%5\% of 40mL40\,\text{mL} = 0.05×40mL0.05 \times 40\,\text{mL}\newline= 2mL2\,\text{mL} of active ingredient
  2. Determine cost per milliliter: Determine the cost per milliliter of the active ingredient.\newline$14.96\$14.96 for 22 mL of active ingredient\newlinePrice per mL = $14.96/2\$14.96 / 2 mL\newline= $7.48\$7.48 per mL

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