Whole Foods makes its own brand of natural trail mix consisting of dried apricots, raisins, and peanuts. One pound of the mixture costs $3.18. It contains twice as much peanuts by weight as apples. One pound of dried apricots costs $4.48, a pound of raisins $2.40, and a pound of peanuts $3.44. How many ounces of each ingredient are contained in 1 pound of the trail mix?

3 ounces of apricots, 6 ounces of peanuts and 7 ounces of raisins.

Step-by-step explanation:

Given:

One pound of the mixture costs $3.18.

It contains twice as much peanuts by weight as apricots.

One pound of dried apricots costs $4.48

One pound of raisins cost  $2.40.

One pound of peanuts cost $3.44.

Question asked:

How many ounces of each ingredient are contained in 1 pound of the trail mix ?:

Solution:

Let one pound mixture contains apricots =

So, one pound mixture contains peanuts  =

So, one pound mixture contains raisins =

To calculate cost of one pound mixture, we will multiply the amount of each ingredients present in one pound mixture with their respective costs:

One pound of dried apricots costs = $4.48

of dried apricots costs =

One pound of peanuts cost = $3.44.

of peanuts cost =

One pound of raisins cost = $2.40.

of raisins cost =

Now, as given one pound of mixture cost =  $3.18.

Subtracting both sides by 2.40

Dividing both sides by 4.16

One pound mixture contains apricots = =

Now, convert it into ounces;

1 pound = 16 ounces

=

One pound mixture contains peanuts  =

one pound mixture contains raisins =

Therefore, 1 pound of the trail mix contains 3 ounces of apricots, 6 ounces of peanuts and 7 ounces of raisins.

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