The contents of a jar of jelly that is 40% full are poured into an emp

Let’s let n = the capacity of a jelly jar. We know that 40% of a jelly jar (0.4n) will fill a 200-ounce vat to 25% of capacity, or 200 x 0.25 = 50 ounces.. We can create the equation:0.4n = 50

4n = 500

n = 125

So each jelly jar contains 125 ounces. So to fill 3 vats, or 600 ounces, 5 jars would be needed.

Alternate Solution:

We know that 40% of a jelly jar corresponds to 25% of a vat. To find the number of jelly jars to fill 3 vats or equivalently, 300% capacity of one vat; we can set up a proportion, letting x be the percentage of one jelly jar to fill 300% of one vat. The proportion is: “x percent of a jelly jar is to 300% of one vat as 40% of a jelly jar is to 25% of a vat”:

x/300 = 40/25

x = (300*40)/25 = 12 * 40 = 480

So, we need 480% of one jelly jar or in other words, 4.8 jelly jars to fill 3 vats. Thus, in order to be able to completely fill 3 vats, the number of full jelly jars that we need is 5.

Answer: D

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