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

1 answer

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