Question

Nutrition The calories in a breakfast sandwich come from three sources: 144 Calories are from carbohydrates, 108 Calories are from fat, and 56 Calories are from protein. Use properties of addition to find the total number of calories in the sandwich.

Short answer

Total number of calories in the sandwich is 308 calories.

Step-by-step solution

Step-1 – What are real numbers? 

Real numbers are simply the combination of Whole numbers, Integers, Rational and Irrational numbers in the number system.

Step-2 – Associative Property of Addition of Real Numbers: 

Suppose a, b, and c is three real numbers.

Associative property of Addition: (a + b) + c = a + (b + c)

If you are adding three real numbers, the sum is always the same regardless of their grouping.

Example: (11+12) + 13 = 11 + (12+13) = 36

Step-3: Use properties of addition to find the total number of calories in the sandwich.

Given in the question:

The amount of calories in the sandwich is144 Calories are from carbohydrates, 108 Calories are from fat, and 56 Calories are from protein.

To find the total number of calories in the sandwich, we need to use the Associative Property of Addition.

Associative property of Addition states, if you are adding three real numbers, the sum is always the same regardless of their grouping.

Associative property of Addition: (a + b) + c = a + (b + c)

Total number of calories in the sandwich is:

Total calories = calories in (carbohydrates + Fat + proteins)

$\begin{array}{l}144+108+56\\ 144+(108+56)(\text{AssociativePropertyofAddition)}\\ \text{(144+108)+56}(\text{AssociativePropertyofAddition)}\\ \text{252+56=308}\end{array}$

Total number of calories in the sandwich is 308 calories