two types of sandwiches were made for a tea party. 55% of the sandwiches were cheese sandwiches and the rest were chicken. If there were 252 chicken sandwiches, how many sandwiches were made altogether?
To find out how many sandwiches were made altogether, we need to determine the total percentage of chicken sandwiches and then calculate the total number of sandwiches based on that percentage.
First, we know that 55% of the sandwiches were cheese sandwiches. Therefore, the remaining percentage (100% - 55% = 45%) corresponds to the chicken sandwiches.
Next, we can calculate the total number of sandwiches by setting up a proportion:
55% cheese sandwiches = 45% chicken sandwiches
Let's assign a variable to represent the total number of sandwiches. Let's call it "x." Now we can set up the proportion:
55/100 = 252/x
To solve this proportion, we can cross-multiply:
55x = 100 * 252
55x = 25200
To isolate the "x" term, we can divide both sides of the equation by 55:
x = 25200 / 55
x ≈ 458.18
Since we cannot have a fraction of a sandwich, we round the number up to the nearest whole number.
Therefore, approximately 458 sandwiches were made altogether.
umm maybe the answer is 252
(1-.55)x = 252
Solve for x.