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

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Math Expert
Joined: 02 Sep 2009
Posts: 53061
The contents of a jar of jelly that is 40% full are poured into an emp  [#permalink]

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22 Jan 2019, 22:56
00:00

Difficulty:

55% (hard)

Question Stats:

53% (01:53) correct 47% (01:37) wrong based on 40 sessions

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The contents of a jar of jelly that is 40% full are poured into an empty 200-ounce vat, filling it to 25% of capacity. How many jars of jelly would be required to fill three of these vats?

A 2
B 3
C 4
D 5
E 6

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Re: The contents of a jar of jelly that is 40% full are poured into an emp  [#permalink]

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22 Jan 2019, 23:03
200-ounce vat, filling it to 25% of capacity
Hence contents = 25% of 200 = 1/4 * 200 = 50 ounces

Now 50 ounces fills 40% of the jar
The capacity of the jar = 100/40 * 50 = 125 ounces

Total weight to be filled with 3 vats = 3 * 200 = 600 ounces
Therefore the number of jars required = 600/125 = 4.8 , which is nothing but 5 jars

IMO D
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Re: The contents of a jar of jelly that is 40% full are poured into an emp  [#permalink]

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23 Jan 2019, 05:12
1
Bunuel wrote:
The contents of a jar of jelly that is 40% full are poured into an empty 200-ounce vat, filling it to 25% of capacity. How many jars of jelly would be required to fill three of these vats?

A 2
B 3
C 4
D 5
E 6

200 ounce filled to 25 % ; 200 * 1/4 = 50 ounce

so we can find the capacity of jelly = 40/100 * x = 50
x = 125 ounces

total vat to be filled = 3
capacity = 3* 200 = 600
600/125 = 4.83 ~ 5 IMO D
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Re: The contents of a jar of jelly that is 40% full are poured into an emp  [#permalink]

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27 Jan 2019, 19:10
Bunuel wrote:
The contents of a jar of jelly that is 40% full are poured into an empty 200-ounce vat, filling it to 25% of capacity. How many jars of jelly would be required to fill three of these vats?

A 2
B 3
C 4
D 5
E 6

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.

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Re: The contents of a jar of jelly that is 40% full are poured into an emp   [#permalink] 27 Jan 2019, 19:10
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