A small business that makes candles uses a proportional amount of essential oil and wax. For 84 ounces of wax, they use 7 ounces of essential oil.

How many ounces of essential oil is needed for 564 ounces of wax?

80.6 ounces
77 ounces
47 ounces
14.3 ounces

To find out how many ounces of essential oil are needed for 564 ounces of wax, we can set up a proportion using the given information:

84 ounces of wax is to 7 ounces of essential oil as 564 ounces of wax is to x ounces of essential oil.

This can be written as:

84/7 = 564/x

To find x, we can cross-multiply and solve for x:

84x = 7 * 564
84x = 3948
x = 3948/84
x = 47

Therefore, 47 ounces of essential oil is needed for 564 ounces of wax.

So the correct answer is:

47 ounces