To determine the total number of sandwiches sold at lunchtime, we start by understanding the relationship given in the problem:
1. Percentage Representation: We know that 14 percent (or 0.14 as a decimal) of the total sandwiches sold are turkey sandwiches.
2. Quantity Information: We are given that 28 turkey sandwiches were sold.
Now, let's use these details to find out the total number of sandwiches sold:
1. Set up the equation:
The percentage of turkey sandwiches (14%) times the total number of sandwiches (let's denote this total number by [tex]\( T \)[/tex]) gives us the number of turkey sandwiches sold. This relationship can be set up as:
[tex]\[
0.14 \times T = 28
\][/tex]
2. Solve for [tex]\( T \)[/tex]:
To isolate [tex]\( T \)[/tex], we need to divide both sides of the equation by 0.14:
[tex]\[
T = \frac{28}{0.14}
\][/tex]
3. Calculate the total number of sandwiches:
Performing the division:
[tex]\[
T = 200
\][/tex]
Therefore, the total number of sandwiches sold at lunchtime is 200.
