Using proportions, it is found that:
- The total value of the remaining fillets is of $13.53.
- The price per pound is of $2.54.
- The salmon’s yield percentage is of 66.95%.
- You would expect to yield 4.6 pounds of boneless salmon fillet from the next salmon weighing 6 # 14 oz.
What is a proportion?
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
Before beginning the problem, we have that the symbol # represents a pound, which has 16 ounces.
The remaining fillets weight 4 # 15 oz = 4 pounds + 15/16 of a pound. Hence, considering the cost of $2.74 per pound:
4 x 2.74 + 15/16 x 2.74 = $13.53.
The total value of the remaining fillets is of $13.53.
The price per pound is still the same, of $2.54.
The yield is of 4 pounds + 15/16 of a pound = 4.9375 pounds out of 7 + 6/16 = 7.375 pounds, hence the percentage is:
4.9375/7.375 x 100% = 66.95%.
The salmon’s yield percentage is of 66.95%.
Hence, for 6 + 14/16 = 6.875 pounds, the yield would be of:
0.6695 x 6.875 = 4.6 pounds.
You would expect to yield 4.6 pounds of boneless salmon fillet from the next salmon weighing 6 # 14 oz.
More can be learned about proportions at https://brainly.com/question/24372153
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