The table shows the sandwich orders from a deli.

\begin{tabular}{|c|c|}
\hline Type of Sandwich & Number Ordered \\
\hline Cheese & 6 \\
\hline Veggie & 3 \\
\hline Chicken & 5 \\
\hline \hline
\end{tabular}

Suppose Mr. Swanson turns in a late order for 1 veggie sandwich and 1 chicken sandwich. What is the new ratio of chicken sandwiches to veggie sandwiches?

A. 3 chicken sandwiches to 5 veggie sandwiches
B. 4 chicken sandwiches to 4 veggie sandwiches
C. 6 chicken sandwiches to 4 veggie sandwiches
D. 6 chicken sandwiches to 7 veggie sandwiches



Answer :

Let's solve the given problem step-by-step:

1. Initial Orders:
- Cheese sandwiches: 6
- Veggie sandwiches: 3
- Chicken sandwiches: 5

2. Additional Orders by Mr. Swanson:
- Additional veggie sandwiches: 1
- Additional chicken sandwiches: 1

3. Calculate the New Totals:
- New number of veggie sandwiches = Initial veggie sandwiches + Additional veggie sandwiches
= 3 + 1
= 4
- New number of chicken sandwiches = Initial chicken sandwiches + Additional chicken sandwiches
= 5 + 1
= 6

4. Check the Ratios Provided in the Options:

Let's examine the ratio provided in each option to find the correct one:

- 3 chicken sandwiches to 5 veggie sandwiches: This ratio doesn't match the new totals since we now have 6 chicken sandwiches and 4 veggie sandwiches.
- 4 chicken sandwiches to 4 veggie sandwiches: This ratio doesn't match either as we have 6 chicken sandwiches.
- 6 chicken sandwiches to 4 veggie sandwiches: This ratio matches the new totals perfectly.
- 6 chicken sandwiches to 7 veggie sandwiches: This ratio doesn't match either as we only have 4 veggie sandwiches.

Thus, the new ratio of chicken sandwiches to veggie sandwiches is 6 chicken sandwiches to 4 veggie sandwiches. Therefore, the correct answer is:

6 chicken sandwiches to 4 veggie sandwiches.