Concept: Modeling is a method of simulating the real life situations with mathematical equations. Using these models we can forecast the future behavior. We can translate the mathematical word problem into a math expression using variables.

2) If grouping symbols such as parentheses, square brackets, absolute value bars, or fraction bars are present, begin as follows.

Step 1 Work separately above and below each fraction bar.

Step 2 Use the rules below within each set of parentheses or square brackets. Start with the innermost set and work outward.

If no grouping symbols are present, follow these steps.

Step 1 Simplify all powers and roots. Work from left to right.

Step 2 Do any multiplications or divisions in order. Work from left to right.

Step 3 Do any negations, additions, or subtractions in order. Work from left to right.

Calculation:

Given that

The number of mini marshmallows \(={3}+{2}\times\frac{4}{{2}}-{3}\times{7}-{4}+{47}\)

\(={3}+{2}\times{2}-{3}\times{7}-{4}+{47}{\left(\div{i}{s}{i}{o}{n}{f}{i}{r}{s}{t}\right)}\)

=3+4-21-4 +47 (Multiplication)

= 54 — 25 (Addition and subtraction)

= 29 (subtraction)

Final statement:

Therefore, 29 mini marshmallows are used in one serving.

2) If grouping symbols such as parentheses, square brackets, absolute value bars, or fraction bars are present, begin as follows.

Step 1 Work separately above and below each fraction bar.

Step 2 Use the rules below within each set of parentheses or square brackets. Start with the innermost set and work outward.

If no grouping symbols are present, follow these steps.

Step 1 Simplify all powers and roots. Work from left to right.

Step 2 Do any multiplications or divisions in order. Work from left to right.

Step 3 Do any negations, additions, or subtractions in order. Work from left to right.

Calculation:

Given that

The number of mini marshmallows \(={3}+{2}\times\frac{4}{{2}}-{3}\times{7}-{4}+{47}\)

\(={3}+{2}\times{2}-{3}\times{7}-{4}+{47}{\left(\div{i}{s}{i}{o}{n}{f}{i}{r}{s}{t}\right)}\)

=3+4-21-4 +47 (Multiplication)

= 54 — 25 (Addition and subtraction)

= 29 (subtraction)

Final statement:

Therefore, 29 mini marshmallows are used in one serving.