A deli sells 30 salads for every 48 sandwiches. At this rate, how many salads will they sell for every 64 sandwiches?

30/48 = x/64

Cross multiply and solve for x.

40

To find out how many salads will be sold for every 64 sandwiches, we need to use the given ratio of salads to sandwiches.

First, let's find the ratio of salads to sandwiches:
30 salads : 48 sandwiches

To simplify the ratio, we can divide both numbers by their greatest common divisor, which is 6:
30 ÷ 6 = 5
48 ÷ 6 = 8

So, the simplified ratio is:
5 salads : 8 sandwiches

Now, we need to determine how many salads will be sold for every 64 sandwiches. We can set up a proportion based on the ratio above:

5 salads / 8 sandwiches = X salads / 64 sandwiches

To solve for X, we can cross-multiply and then divide:
(5 * 64) / 8 = X salads

320 / 8 = X salads
X = 40 salads

Therefore, for every 64 sandwiches, the deli will sell 40 salads.