Question

Your favorite candy bar, Gummy Beakers, contains 1.2 x 106 J of energy while your favorite soft drink, Bolt, contains 6.7 x 105 J. 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.?

Answer 1

Answer:

The energy intake from food is measured in Calories (Cal). It is to be distinguished from the calorie (with a small 'c'), which is also frequently used in technical publications. The Calorie is equal to 1 kilocalorie. The conversion formula between the Calorie and the Joule is:

1 Cal = 4184 Joules

Step-by-step explanation:

First let's find the total energy intake from the candy bar :

E = 2 × 1.2  10^6

J = 2.4 × 10^6 J.

And the total energy intake from the soft drink is :

E = 3 × 6.7 × 10^5

J = 2.01 × 10^6 J.

The total energy consumed is :

E = 2.01 × 10^6 + 2.4 × 10^6

J = 4.41 × 10^6 J.

The person is on a 2000 Cal diet. This converts to :

2000 × 4184

J = 8.368 × 10^6 J.

The amount of energy intake left for broccoli, beans, beef, etc is :

(8.368 - 4.41) × 10^6

J = 3.958 × J.

As a percentage of the total food intake, we can write this as :

3.958/8.368 × 100% = 47.3%

So now we got our final answer : 47.3%