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The chart below shows the economic costs of two school lunches.

\begin{tabular}{|l|r|r|}
\hline
\multicolumn{3}{|c|}{Economic Cost per Lunch} \\
\hline
& \begin{tabular}{c} Current \\ lunch \end{tabular} & \begin{tabular}{c} Healthier \\ lunch \end{tabular} \\
\hline
Main course & [tex]$\$[/tex] 1.15[tex]$ & $[/tex]\[tex]$ 1.85$[/tex] \\
\hline
Side dish & [tex]$\$[/tex] 0.30[tex]$ & $[/tex]\[tex]$ 0.90$[/tex] \\
\hline
Dessert & [tex]$\$[/tex] 0.30[tex]$ & $[/tex]\[tex]$ 0.10$[/tex] \\
\hline
Beverage & [tex]$\$[/tex] 0.30[tex]$ & $[/tex]\[tex]$ 0.05$[/tex] \\
\hline
Total & [tex]$\$[/tex] 2.05[tex]$ & $[/tex]\[tex]$ 2.80$[/tex] \\
\hline
\end{tabular}

The smallest price difference between the two lunches is found in the
A. beverage
B. main course
C. dessert
D. side dish



Answer :

GinnyAnswer
To determine the smallest price difference between components of the current lunch and the healthier lunch, we need to compare each component separately.

1. Main Course:
- Current lunch price: [tex]$1.15 - Healthier lunch price: $[/tex]1.85
- Price difference: [tex]\( |1.15 - 1.85| = 0.70 \)[/tex]

2. Side Dish:
- Current lunch price: [tex]$0.30 - Healthier lunch price: $[/tex]0.90
- Price difference: [tex]\( |0.30 - 0.90| = 0.60 \)[/tex]

3. Dessert:
- Current lunch price: [tex]$0.30 - Healthier lunch price: $[/tex]0.10
- Price difference: [tex]\( |0.30 - 0.10| = 0.20 \)[/tex]

4. Beverage:
- Current lunch price: [tex]$0.30 - Healthier lunch price: $[/tex]0.05
- Price difference: [tex]\( |0.30 - 0.05| = 0.25 \)[/tex]

After calculating the price differences for each component:
- Main Course: [tex]\(0.70\)[/tex]
- Side Dish: [tex]\(0.60\)[/tex]
- Dessert: [tex]\(0.20\)[/tex]
- Beverage: [tex]\(0.25\)[/tex]

The smallest price difference among the components is [tex]\(0.20\)[/tex], which corresponds to the dessert.

Thus, the smallest price difference between the two lunches is found in the dessert.

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