Word problem

[Jack]

I got this question wrong on the PSAT and I don't have a clue how to get figure out the answer.

At a party, there was one pizza for every 3 people, one salad for every 6 people, and one cake for every 8 people. If the total number of pizzas, salads and cakes was n, then, in terms of n, how many people were at the party?

 

[tkhunny]

Pizza: n/3 is a Whole Number
Salad: n/6 is a Whole Number
Cake: n/8 is a Whole Number

Is there a value for 'n' that makes all three Whole Numbers? There is not a unique answer. It is likely the question wants the LEAST such value.

 

[skeeter]

... or the one answer among the choices offered (if the question was multiple choice) that is divisible by 3, 6, and 8.