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Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to
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17 Aug 2018, 18:39
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
(A) 12
(B) 13
(C) 14
(D) 15
(E) 16
Re: Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to
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10 Mar 2019, 11:08
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.
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
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25 Feb 2019, 08:09
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
(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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