Problem 40 - Elementary Algebra

Question

Find the percent that the calories in a triple Whopper with cheese are of the recommended daily calorie intake for an adult woman. Round to the nearest percent. At one Burger King restaurant ... a triple Whopper with cheese has 1,230 calories ... and a king-size chocolate shake has 1,260 . The recommended daily calorie intake for an adult woman is about 1,800 . (Source: www.nydailynews -com, July 7, 2007)

Step-by-Step Solution

Answer

The calories in a triple Whopper with cheese are 68% of the recommended daily calorie intake for an adult woman.

Step 1: Identify the Given Values

A triple Whopper with cheese has 1,230 calories. The recommended daily calorie intake for an adult woman is 1,800 calories.

Step 2: Write the Formula for Percentage Calculation

The formula to find the percentage is: \[\text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100\]Here, 'Part' is the calories in the triple Whopper with cheese, and 'Whole' is the recommended daily calorie intake.

Step 3: Substitute the Values into the Formula

Substitute the given values into the formula: \[\text{Percentage} = \frac{1230}{1800} \times 100\]

Step 4: Perform the Calculation

Calculate the fraction first: \[\frac{1230}{1800} \ = 0.6833\]Then, multiply by 100 to find the percentage: \[0.6833 \times 100 \ = 68.33\text{%}\]

Step 5: Round to the Nearest Percent

Since 68.33% rounds to the nearest percent, the final answer is 68%.

Key Concepts

recommended daily calorie intake

When discussing daily nutrition, understanding the recommended daily calorie intake is crucial. This is the number of calories an individual should consume each day to maintain their weight, energy, and overall health. The recommended daily calorie intake varies based on factors like age, gender, and activity level. For adult women, this number is typically around 1,800 calories per day.
Maintaining this recommended intake helps ensure that the body gets enough energy and nutrients. Going above or below this amount consistently can lead to weight gain or deficiencies in essential nutrients.
Remember, this figure is just a guideline. Always consider personal lifestyle and health conditions when planning your diet.

percentages

Percentages are a way to express ratios and proportions. In mathematics, a percentage represents a fraction of 100. It helps compare quantities relative to each other. The formula to calculate a percentage is:
\[ \text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100\]In this context, when determining how many calories from a triple Whopper with cheese contribute to the recommended daily calorie intake, you take the calories from the food (the Part) and divide it by the recommended intake (the Whole).
For example:
\[ \text{Percentage} = \frac{1230}{1800} \times 100 = 68.33\%\]Thus, 1,230 calories from a triple Whopper with cheese make up approximately 68% of the daily intake for an adult woman. Understanding percentages allows for better decision-making in nutritional choices.

calorie content

Calorie content refers to the amount of energy provided by food. The calories in food fuel our bodies' daily functions and activities. Foods vary widely in calorie content, with high-calorie foods delivering more energy but potentially contributing to weight gain if overconsumed.
For instance, a triple Whopper with cheese has 1,230 calories, which is a large portion of the total daily recommended intake for an adult woman (1,800 calories). Consuming high-calorie foods like this regularly can lead to exceeding the recommended daily intake, making it harder to maintain a healthy weight.
Tracking calorie content helps manage energy intake and supports balanced nutrition. Being aware of the calorie content in various foods ensures better food choices and helps to maintain a balanced diet.