Calculating the Total Cost of Ingredients

Oct 13, 2025 by talynt.org 48 views

Introduction

Fernando is preparing a trail mix by purchasing 1 pound of dried cranberries and 4 pounds of almonds. The cost of cranberries is $$4 per pound, and the cost of almonds is $$5 per pound. To determine the price per pound of the trail mix, we need to calculate the total cost of the ingredients and then divide it by the total weight of the trail mix.

Calculating the Total Cost of Ingredients

The total cost of the cranberries is $$4 per pound, and Fernando purchased 1 pound. Therefore, the total cost of the cranberries is:

4 \times 1 = \$$4 The total cost of the almonds is \$$5 per pound, and Fernando purchased 4 pounds. Therefore, the total cost of the almonds is: $$5 \times 4 = \$$20 The total cost of the ingredients is the sum of the cost of the cranberries and the cost of the almonds: $$4 + \$$20 = \$$24 **Calculating the Total Weight of the Trail Mix** ---------------------------------------------- The total weight of the trail mix is the sum of the weight of the cranberries and the weight of the almonds: 1 pound (cranberries) + 4 pounds (almonds) = 5 pounds **Calculating the Price Per Pound of the Trail Mix** ------------------------------------------------ To calculate the price per pound of the trail mix, we need to divide the total cost of the ingredients by the total weight of the trail mix: $$24 ÷ 5 = \$$4.80 Therefore, the price per pound of the trail mix is \$$4.80. **Conclusion** -------------- In this example, we calculated the price per pound of a trail mix made from 1 pound of dried cranberries and 4 pounds of almonds. The total cost of the ingredients was \$$24, and the total weight of the trail mix was 5 pounds. By dividing the total cost by the total weight, we determined that the price per pound of the trail mix is \$$4.80. **Real-World Applications** ------------------------- This calculation has real-world applications in various industries, such as: * **Food production**: Manufacturers of trail mix and other snack foods need to calculate the cost per pound of their products to determine their pricing. * **Retail**: Retailers need to calculate the cost per pound of their products to determine their pricing and make informed business decisions. * **Cooking**: Home cooks and professional chefs need to calculate the cost per pound of ingredients to determine their pricing and make informed decisions about their recipes. **Tips and Variations** ---------------------- * **Multiple ingredients**: If you have multiple ingredients with different costs and weights, you can calculate the price per pound of the trail mix by using the same formula. * **Discounts and promotions**: If you have discounts or promotions on the ingredients, you can calculate the price per pound of the trail mix by applying the discounts or promotions to the total cost. * **Custom recipes**: If you have a custom recipe with different ingredients and weights, you can calculate the price per pound of the trail mix by using the same formula. **Common Mistakes** ------------------- * **Incorrect calculation**: Make sure to calculate the total cost and total weight correctly to avoid errors. * **Incorrect formula**: Use the correct formula to calculate the price per pound of the trail mix. * **Ignoring discounts and promotions**: Make sure to apply discounts and promotions to the total cost to get an accurate price per pound. **Conclusion** -------------- In conclusion, calculating the price per pound of a trail mix is a simple process that involves calculating the total cost of the ingredients and dividing it by the total weight of the trail mix. By using the correct formula and avoiding common mistakes, you can accurately determine the price per pound of your trail mix.<br/> **Frequently Asked Questions (FAQs) About Calculating the Price Per Pound of Trail Mix** ===================================================================================== **Q: What is the formula for calculating the price per pound of trail mix?** -------------------------------------------------------------------------------- A: The formula for calculating the price per pound of trail mix is: Total Cost ÷ Total Weight = Price Per Pound **Q: How do I calculate the total cost of the ingredients?** --------------------------------------------------------- A: To calculate the total cost of the ingredients, you need to multiply the cost per pound of each ingredient by the number of pounds you purchased. For example, if you purchased 1 pound of cranberries at \$$4 per pound, the total cost of the cranberries would be: $$4 \times 1 = \$$4 **Q: How do I calculate the total weight of the trail mix?** --------------------------------------------------------- A: To calculate the total weight of the trail mix, you need to add the weight of each ingredient together. For example, if you purchased 1 pound of cranberries and 4 pounds of almonds, the total weight of the trail mix would be: 1 pound (cranberries) + 4 pounds (almonds) = 5 pounds **Q: What if I have multiple ingredients with different costs and weights?** ------------------------------------------------------------------------- A: If you have multiple ingredients with different costs and weights, you can calculate the price per pound of the trail mix by using the same formula. For example, if you purchased 1 pound of cranberries at \$$4 per pound, 4 pounds of almonds at \$$5 per pound, and 2 pounds of raisins at \$$3 per pound, the total cost of the ingredients would be: $$4 \times 1 = \$$4 (cranberries) $$5 \times 4 = \$$20 (almonds) $$3 \times 2 = \$$6 (raisins) Total Cost = \$$4 + \$$20 + \$$6 = \$$30 The total weight of the trail mix would be: 1 pound (cranberries) + 4 pounds (almonds) + 2 pounds (raisins) = 7 pounds The price per pound of the trail mix would be: $$30 ÷ 7 = \$$4.29 **Q: What if I have discounts or promotions on the ingredients?** ---------------------------------------------------------------- A: If you have discounts or promotions on the ingredients, you can calculate the price per pound of the trail mix by applying the discounts or promotions to the total cost. For example, if you purchased 1 pound of cranberries at \$$4 per pound, 4 pounds of almonds at \$$5 per pound, and 2 pounds of raisins at \$$3 per pound, and you have a 10% discount on the total cost, the total cost of the ingredients would be: $$4 \times 1 = \$$4 (cranberries) $$5 \times 4 = \$$20 (almonds) $$3 \times 2 = \$$6 (raisins) Total Cost = \$$4 + \$$20 + \$$6 = \$$30 Discount = \$$30 \times 0.10 = \$$3 Total Cost with Discount = \$$30 - \$$3 = \$$27 The total weight of the trail mix would be: 1 pound (cranberries) + 4 pounds (almonds) + 2 pounds (raisins) = 7 pounds The price per pound of the trail mix would be: $$27 ÷ 7 = \$$3.86 **Q: What if I have a custom recipe with different ingredients and weights?** ------------------------------------------------------------------------- A: If you have a custom recipe with different ingredients and weights, you can calculate the price per pound of the trail mix by using the same formula. For example, if you have a recipe that calls for 2 pounds of cranberries, 3 pounds of almonds, and 1 pound of raisins, the total cost of the ingredients would be: $$4 \times 2 = \$$8 (cranberries) $$5 \times 3 = \$$15 (almonds) $$3 \times 1 = \$$3 (raisins) Total Cost = \$$8 + \$$15 + \$$3 = \$$26 The total weight of the trail mix would be: 2 pounds (cranberries) + 3 pounds (almonds) + 1 pound (raisins) = 6 pounds The price per pound of the trail mix would be: $$26 ÷ 6 = \$$4.33 **Conclusion** -------------- In conclusion, calculating the price per pound of trail mix is a simple process that involves calculating the total cost of the ingredients and dividing it by the total weight of the trail mix. By using the correct formula and avoiding common mistakes, you can accurately determine the price per pound of your trail mix.