Apopular mixture of potpourri includes pine needles and lavender. if pine needles cost $1.50 per ounce and lavender cost $4 per ounce, how much of each ingredient should be mixed to make 80 oz of the potpourri that is worth $200

Let the amount of pine needle in the potpourri be x oz.

Let the amount of lavender in the potpourri be y oz.

Then, from the given question it is clear that: oz

Thus, .....................................(Equation 1)

Now, if the cost of pine needle is $1.5/ounce then, the total cost of pine needle in the potpourri will be: .

Likewise, the total cost of lavender in the potpourri will be

From (Equation 1) we thus have,

Since the total cost of the 80 oz potpourri is $200, therefore, the above information can be combined to yield:

(total cost of pine needle in the potpourri)+(total cost of lavender in the potpourri)=total cost of the potpourri

Therefore,

Thus, from (Equation 1),

Therefore, the amount of pine needle in the potpourri is 48 oz and the amount of lavender is 32 oz

answer:  

123455421

step-by-step explanation: easy

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