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