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Ch.1 - Matter, Measurement & Problem Solving
Tro - Chemistry: A Molecular Approach 4th Edition
Tro4th EditionChemistry: A Molecular ApproachISBN: 9780134112831Non è quello che usi tu?Cambia libro di testo
Capitolo 1, Problema 129

The daily recommended intake of calcium for an average adult is 1,000 mg. There is 125 mg of calcium in 100 grams of milk. If a 150 g smoothie contains 75 grams of milk, how many grams of smoothie should an adult consume to meet the daily recommended intake?

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1
Calculate the amount of calcium in 75 grams of milk. Use the ratio: 125 mg of calcium per 100 grams of milk.
Determine the amount of calcium in the 150 g smoothie by using the amount of calcium found in 75 grams of milk.
Set up a proportion to find out how many grams of smoothie are needed to provide 1,000 mg of calcium.
Solve the proportion to find the required grams of smoothie.
Verify the solution by checking if the calculated grams of smoothie provide exactly 1,000 mg of calcium.

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Calcium Content Calculation

To determine how much calcium is in a specific amount of a food product, you can use the concentration of calcium per unit weight. In this case, knowing that there are 125 mg of calcium in 100 grams of milk allows you to calculate the total calcium in the 75 grams of milk used in the smoothie.
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Proportional Relationships

Understanding proportional relationships is essential for solving problems involving ratios and concentrations. By establishing the relationship between the amount of calcium in the milk and the total amount of smoothie, you can determine how much smoothie is needed to reach the daily calcium intake.
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Daily Recommended Intake

The daily recommended intake (DRI) is a guideline that indicates the optimal amount of a nutrient that should be consumed daily for health. In this question, the DRI for calcium is 1,000 mg, which serves as the target amount that needs to be achieved through dietary sources, such as the smoothie.
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