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Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to

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sandy
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Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to [#permalink] New post   17 Aug 2018, 18:39
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Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to make salad dressing. If Larry has 8 cups of oil, 7 cups of vinegar, and access to any amount of water, what is the maximum number of cups of salad dressing he can make with the ingredients he has available, if fractional cup measurements are possible?

(A) 12
(B) 13
(C) 14
(D) 15
(E) 16
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E
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MagooshStudentHelp
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Re: Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to [#permalink] New post   10 Mar 2019, 11:08
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Here's how I solved it: Oil is our limiting factor. We'll have plenty of vinegar and water.

If we have 8 cups of oil and we need 3 cups to make one serving of dressing, then we can make \(\frac{8}{3}\) servings of dressing total.

Each serving of dressing is 3 + 2 + 1 = 6 cups.

So if we can make \(\frac{8}{3}\) servings of dressing, and each serving is 6 cups, then we can make \(\frac{8}{3}*6 = \frac{48}{3}= 16\) cups of dressing.
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Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to [#permalink] New post   25 Feb 2019, 08:09
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sandy wrote:
Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to make salad dressing. If Larry has 8 cups of oil, 7 cups of vinegar, and access to any amount of water, what is the maximum number of cups of salad dressing he can make with the ingredients he has available, if fractional cup measurements are possible?

(A) 12
(B) 13
(C) 14
(D) 15
(E) 16


GIVEN: oil: vinegar : water = 3 : 2 : 1

Let's first try to use ALL 8 cups of oil
Take 3 : 2 : 1 and multiply all 3 parts by 8/3 to get the EQUIVALENT ratio 8 : 16/3 : 8/3
Simplify to get: 8 : 5 1/3 : 2 2/3
So, in this case, the dressing is comprised of 8 cups of oil, 5 1/3 cups of vinegar, and 2 2/3 cups of water
Notice that we have enough vinegar to make this batch.

8 cups + 5 1/3 cups + 2 2/3 cups = 16 cups
So, the TOTAL volume = 16 cups

IMPORTANT: Notice that 16 is the biggest answer choice.
This means we need not explore what happens when we try to use ALL 7 cups on the vinegar, since the answer choices tell us that we will NOT get a value greater than 16

Answer: E

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Re: Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to [#permalink] New post   07 Aug 2019, 18:33
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I did it this way.
Oil is our limiting factor.

From the ratio, 3 cups of oil consumes 3 cups of other ingredients (2 cups vinegar+1cup water). So, 8 cups oil should consume 8 cups of other ingredients in total.

So, total no. of final cups equals 16 cups
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Re: Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to [#permalink] New post   06 Sep 2019, 22:06
anilbanstola wrote:
I did it this way.
Oil is our limiting factor.

From the ratio, 3 cups of oil consumes 3 cups of other ingredients (2 cups vinegar+1cup water). So, 8 cups oil should consume 8 cups of other ingredients in total.

So, total no. of final cups equals 16 cups

What makes oil the limiting factor here? I didn't get it. Can you please elaborate on this.
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Re: Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to [#permalink] New post   08 Oct 2019, 04:44
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mdishan95 wrote:
anilbanstola wrote:
I did it this way.
Oil is our limiting factor.

From the ratio, 3 cups of oil consumes 3 cups of other ingredients (2 cups vinegar+1cup water). So, 8 cups oil should consume 8 cups of other ingredients in total.

So, total no. of final cups equals 16 cups

What makes oil the limiting factor here? I didn't get it. Can you please elaborate on this.



Because we need 3 cups of oil from the total of 8 cups.

vinegar requires = 2 cups from 7

and water = there are infinite numbers
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Re: Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to [#permalink] New post   27 Nov 2019, 09:44
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I solved it like this:

From 3 cups of oil, you get (3+2+1) = 6 cups of salad
then from 8 cups of oil, you get (6/3)*8 = 16 cups of salad
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Re: Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to [#permalink] New post   01 Jan 2021, 03:10
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O+V+W =6x
6x: 1 Cup

When, x = 1 we get 1 cup

now, just check the options chronologically,
When, x = 12, 72 : 12 Cup,
When, x= 13, 78 = 13 Cups,
When, x = 14, 84:14 Cups,
When, x = 15, 90 : 15 Cups
Finally, x = 16, 96 : 16 cups

So, 96 X (Maximum number in option,i.e divided by six): how many cups
cross multiply
ANS: 16
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Re: Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to [#permalink] New post   12 Sep 2021, 06:08
pranab223 wrote:
mdishan95 wrote:
anilbanstola wrote:
I did it this way.
Oil is our limiting factor.

From the ratio, 3 cups of oil consumes 3 cups of other ingredients (2 cups vinegar+1cup water). So, 8 cups oil should consume 8 cups of other ingredients in total.

So, total no. of final cups equals 16 cups

What makes oil the limiting factor here? I didn't get it. Can you please elaborate on this.



Because we need 3 cups of oil from the total of 8 cups.

vinegar requires = 2 cups from 7

and water = there are infinite numbers


okay so you what you mean is we need to use 2 cups from the 7 cups of vinegar that was used so only one resulting cup will be left for vinegar
but for oil we need use 3 cups from the 8 cups available and the remaining will be 2 cups left therefore oil is the limiting factor
is this how we have visualized this question? am i right or wrong
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Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to [#permalink] New post   18 Feb 2022, 05:16
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But in usual scenario, we need to test out for all cases right, including vinegar?

GreenlightTestPrep wrote:
sandy wrote:
Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to make salad dressing. If Larry has 8 cups of oil, 7 cups of vinegar, and access to any amount of water, what is the maximum number of cups of salad dressing he can make with the ingredients he has available, if fractional cup measurements are possible?

(A) 12
(B) 13
(C) 14
(D) 15
(E) 16


GIVEN: oil: vinegar : water = 3 : 2 : 1

Let's first try to use ALL 8 cups of oil
Take 3 : 2 : 1 and multiply all 3 parts by 8/3 to get the EQUIVALENT ratio 8 : 16/3 : 8/3
Simplify to get: 8 : 5 1/3 : 2 2/3
So, in this case, the dressing is comprised of 8 cups of oil, 5 1/3 cups of vinegar, and 2 2/3 cups of water
Notice that we have enough vinegar to make this batch.

8 cups + 5 1/3 cups + 2 2/3 cups = 16 cups
So, the TOTAL volume = 16 cups

IMPORTANT: Notice that 16 is the biggest answer choice.
This means we need not explore what happens when we try to use ALL 7 cups on the vinegar, since the answer choices tell us that we will NOT get a value greater than 16

Answer: E

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Re: Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to [#permalink] New post   18 Feb 2022, 05:49
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Chaithraln2499 wrote:
But in usual scenario, we need to test out for all cases right, including vinegar?

That's correct. In this particular case we are limited by the answer choices.
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Re: Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to [#permalink] New post   21 Jun 2024, 12:45
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