The table shows the sandwich orders from a deli.

Type of Sandwich
Number Ordered
Cheese
6
Veggie
3
Chicken
5

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?
3 chicken sandwiches to 5 veggie sandwiches
4 chicken sandwiches to 4 veggie sandwiches
6 chicken sandwiches to 4 veggie sandwiches
6 chicken sandwiches to 7 veggie sandwiches

1 answer

Initially, the orders were as follows:

  • Veggie sandwiches: 3
  • Chicken sandwiches: 5

After Mr. Swanson's late order, the new counts will be:

  • Veggie sandwiches: 3 + 1 = 4
  • Chicken sandwiches: 5 + 1 = 6

Now, we can find the new ratio of chicken sandwiches to veggie sandwiches:

Ratio of chicken sandwiches to veggie sandwiches = \( \frac{6}{4} \)

To simplify this:

\( \frac{6}{4} = \frac{3}{2} \)

This does not match any of the options directly. However, we can express this ratio in a way that gives us a numeric relationship:

If we were to write it in terms of whole numbers, we could express it as:

  • 6 chicken sandwiches for every 4 veggie sandwiches, or written as: 6 chicken sandwiches to 4 veggie sandwiches

Therefore, the final answer is 6 chicken sandwiches to 4 veggie sandwiches.

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