Two types of sandwiches were made for a tea party. 40% of the sandwiches were cheese sandwiches and the rest were chicken sandwiches. if there were 288 chicken sandwiches how many sandwiches were made altogether?

The total number of sandwiches made is 100% of the sandwiches.
If 40% of the sandwiches are cheese sandwiches, then since 100% - 40% = 60%, 60% of the sandwiches are chicken sandwiches. We are told that there were 288 chicken sandwiches,

Now you need to solve this problem.

60% of what number is 288?

Translate it into an equation.

60% * x = 288

0.6x = 288

Divide both sides by 0.6

x = 288/0.6

x = 480

480 sandwiches were made.

The scale factor of what ?