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Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to [#permalink]
17 Aug 2018, 18:39

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Question Stats:

68% (01:06) correct
31% (02:05) wrong based on 19 sessions

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?

Re: Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to [#permalink]
25 Feb 2019, 08:09

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Expert's post

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]
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.

Re: Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to [#permalink]
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.

Re: Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to [#permalink]
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.

Re: Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to [#permalink]
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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