Your favorite candy bar, Gummy Beakers, contains 1.2 × 10⁶ J of energy while your favorite soft drink, Bolt, contains 6.7 × 10⁵J. If you eat two packs of Gummy Beakers a day and drink 3 cans of Bolt, what percent of your 2000 Calorie daily food intake is left for broccoli, beans, beef, etc.?

Question

Quizplus · Accepted Answer

To find out what percent of your daily food intake is left for other foods, we need to first calculate how many Calories are consumed from Gummy Beakers and Bolt.

1. Each pack of Gummy Beakers contains 1.2 × 10^16 J of energy. To convert this to Calories, we need to divide by the conversion factor 4.184 J/cal:

1.2 × 10^16 J / 4.184 J/cal = 2.8 × 10^15 cal

Since we eat two packs of Gummy Beakers a day, the total number of Calories consumed from Gummy Beakers is:

2 × 2.8 × 10^15 cal = 5.6 × 10^15 cal

2. Each can of Bolt contains 6.7 × 10^15 J of energy. To convert this to Calories, we need to divide by the conversion factor 4.184 J/cal:

6.7 × 10^15 J / 4.184 J/cal = 1.6 × 10^15 cal

Since we drink 3 cans of Bolt a day, the total number of Calories consumed from Bolt is:

3 × 1.6 × 10^15 cal = 4.8 × 10^15 cal

Adding the Calories from Gummy Beakers and Bolt, we get:

5.6 × 10^15 cal + 4.8 × 10^15 cal = 1.04 × 10^16 cal

To find out what percent of the daily food intake this represents, we divide by 2000 Calories and multiply by 100%:

(1.04 × 10^16 cal / 2000 cal) × 100% ≈ 5.2 × 10^11 %

This is equivalent to 5.2 × 10^6%, which is clearly more than 100%. This means that there is no room for other foods in the diet, so the answer is:

Answer: B
 The percentage of the daily food intake left for other foods is negative, so there is no room for broccoli, beans, beef, etc.

Your Favorite Candy Bar, Gummy Beakers, Contains 1