Chapter 0.6, Problem 29E

a.

To determine

To calculate: The quantityof saturated fat recommended for 2000- Calorie diet.

Answer to Problem 29E

The quantityof saturated fat recommended for 2000- Calorie dietis $20\text{ grams}$ .

Explanation of Solution

Given information:

The label on package of cheese and macaroni states that it contains 3 grams of saturated fats and it is $15\%$ of the daily value recommended for 2000-Calorie diet.

Formula used:

Percent proportion is ratio of amount and base is same as percent to 100.

To convert percentage to fraction divide the number by 100.

Calculation:

It is provided that the label on package of cheese and macaroni states that it contains 3 grams of saturated fats and it is $15\%$ of the daily value recommended for 2000-Calorie diet.

To evaluate the quantity of saturated fat recommended for 2000-Calorie diet, estimate a number of which 3 is $15\%$ .

Recall that percent proportion is ratio of amount and base is same as percent to 100.

Let that number be x,

  $\begin{array}{c}\frac{3}{x}=\frac{15}{100}\\ x=\frac{3\times 100}{15}\\ x=20\end{array}$

Thus, for a 2000-Calorie diet, 20 grams of saturated fats are recommended.

b.

To determine

To calculate: Therecommended daily value of sodium as per U.S. Food and Drug Administration.

Answer to Problem 29E

The recommended daily value of sodiumis $2350\text{ milligrams}$ .

Explanation of Solution

Given information:

The label on package of cheese and macaroni states it contains 470 milligrams of sodium salt fats and it is $20\%$ of the daily value recommended of sodium.

Formula used:

Percent proportion is ratio of amount and base is same as percent to 100.

To convert percentage to fraction divide the number by 100.

Calculation:

It is provided that the label on package of cheese and macaroni states it contains 470 milligrams of sodium salt fats and it is $20\%$ of the daily value recommended of sodium.

To evaluate the recommended daily value of sodium, estimate a number of which 470 is $20\%$ .

Recall that percent proportion is ratio of amount and base is same as percent to 100.

Let that number be x,

  $\begin{array}{c}\frac{470}{x}=\frac{20}{100}\\ x=\frac{470\times 100}{200}\\ x=2350\end{array}$

Thus, the recommended daily value of sodium is, 2350 milligrams.

c.

To determine

To calculate: The percent of calories that come from fat in serving macaroni and cheese.

Answer to Problem 29E

The percent of calories that come from fat in serving macaroni and cheeseis $44\%$ .

Explanation of Solution

Given information:

The label on package of cheese and macaroni states it there are 250 calories in serving it and 110 of those calories come from fat.

Formula used:

Percent proportion is ratio of amount and base is same as percent to 100.

To convert percentage to fraction divide the number by 100.

Calculation:

It is provided that thelabel on package of cheese and macaroni states it there are 250 calories in serving it and 110 of those calories come from fat.

To evaluate the recommended daily value of sodium, estimate what percent 110 is of 250.

Recall that percent proportion is ratio of amount and base is same as percent to 100.

Let that percent be x,

  $\begin{array}{c}\frac{110}{250}=\frac{x}{100}\\ x=\frac{110\times 100}{250}\\ x=44\end{array}$

Thus, the percent of calories that come from fat in serving macaroni and cheese is $44\%$ .