Step 1
Given:
[tex]84\text{ calories are in }\frac{3}{4}cup\text{ servings}[/tex]Required: To find how many calories are in 5 cups of cereal.
Step 2
Find how many calories are in 1 cup of cereal
[tex]\begin{gathered} \frac{84}{x}=\frac{\frac{3}{4}}{1} \\ 84=\frac{3x}{4} \\ 84\times4=3x \\ \end{gathered}[/tex][tex]\begin{gathered} 336=3x \\ \frac{3x}{3}=\frac{336}{3} \\ x=112\text{ calories per cup of cereal} \end{gathered}[/tex]Step 3
Find how many calories are in 5 cups of cereal.
[tex]\begin{gathered} =5\times112 \\ =\text{ 560 calories} \end{gathered}[/tex]Answer = 560 calories