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.?

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%