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

To find the new ratio of chicken sandwiches to veggie sandwiches after Mr. Swanson's order is added, we first need to update the counts of each type of sandwich based on the original orders and Mr. Swanson's late order.

Original Orders:

  • Veggie: 3 sandwiches
  • Chicken: 5 sandwiches

Mr. Swanson's Order:

  • Veggie: 1 sandwich
  • Chicken: 1 sandwich

Updated Counts:

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

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

\[ \text{Ratio of chicken to veggie} = \frac{6 \text{ chicken}}{4 \text{ veggie}} = 6:4 \]

To simplify this ratio, we divide both parts by 2:

\[ 6:4 = 3:2 \]

Now, we want to confirm the choices given and make sure we choose the correct one. However, the choices provided don't have the simplified ratio as an option. Let's check the final numbers:

  • 6 chicken sandwiches
  • 4 veggie sandwiches

The final ratio is:

\[ 6:4 \]

This corresponds to 6 chicken sandwiches to 4 veggie sandwiches, which is one of your given options.

Thus, the answer is:

6 chicken sandwiches to 4 veggie sandwiches.

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