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A recipe requires 2 1/2 cups of flour 2 3/4 cups of sugar [#permalink]

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17 May 2013, 07:03

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A recipe requires 2 1/2 (mixed number) cups of flour 2 3/4 (mixed number) cups of sugar and 1 1/3 (mixed number) cups of milk to make one cake. Victor has 15 cups if flour, 16 cups of sugar and 8 cups of milk. What is the greatest number of cakes Victor can make using this recipe?

any way to approch this kind of question very fast, please explain step by step if you can

A receipe requires 2 1/2 (mixed number) cups of flour 2 3/4(mixed number) cups of sugar and 1 1/3(mixed number) cups of milk to make one cake. Victor has 15 cups if flour, 16 cups of sugar and 8 cups of milk. What is the gretest number of cakes Victor can make using this recipe?

a 5 b 6 c 7 d 8 e 9

Hi clciotola, you can do this kind of question with more work up front or less work up front. I'd do it with less work up front so let's go through that method:

Less work up front: Go through each item and see what the greatest number of cakes you can make with each. The lowest of these will be the right answer.

Flour: 15 cups, we need 2.5 cups each. Just keep going up the line to see how many cakes we can make: That means I can make 2 cakes with 5 cups, so 6 cakes overall with 15 cups. I've already got the answer narrowed to either A or B.

Sugar: 16 cups, we need 2.75 cups each. Same principle. I can make 2 cups with 5.5 cups, so to make 6 cakes I'd need 16.5 cups. I don't have that much sugar, so we're limited to 5 cakes. No need to even do milk because we're already at 5. Sugar will be the limiting factor.

You can also do this by figuring out which item will be the limiting factor. Since you have halfes, quarters and thirds, you'll need to put them on common bases by multiplying by 12. This will be ugly and I don't recommend it, although it will eventually work out to the same answer.

Easiest would be just crosscheck 1 by 1, like, first check for flour, he has 15 cups, i.e. 15/2.5 = 6 cups can be made. then come to sugar, sugar per cup (if he wants to make 6 cups of recipe) = 16/6 = 2+2/3 (what he has), but he need 2+3/4; so not available. So, ans =5

Last edited by mkdureja on 17 May 2013, 07:11, edited 1 time in total.

any way to approch this kind of question very fast, please explain step by step if you can

A receipe requires 2 1/2 (mixed number) cups of flour 2 3/4(mixed number) cups of sugar and 1 1/3(mixed number) cups of milk to make one cake. Victor has 15 cups if flour, 16 cups of sugar and 8 cups of milk. What is the gretest number of cakes Victor can make using this recipe?

a 5 b 6 c 7 d 8 e 9

The answer would be [A]. The idea is to pick out that ingredient which produces the minimal value when divided.

Among the fractions: Flour = 5/2 Sugar = 11/4 and finally Milk = 4/3.

I normally start with the terms with the lowest values and divide them to find the number of cakes possible. But Its actually safe to calculate them all, since it barely takes a min. Sugar leads to 16*4/11 which can be approximated to an integer as 5. For all the other ingredients the value is 6. Hence the minimal number would be taken into consideration!

any way to approch this kind of question very fast, please explain step by step if you can

A receipe requires 2 1/2 (mixed number) cups of flour 2 3/4(mixed number) cups of sugar and 1 1/3(mixed number) cups of milk to make one cake. Victor has 15 cups if flour, 16 cups of sugar and 8 cups of milk. What is the gretest number of cakes Victor can make using this recipe?

a 5 b 6 c 7 d 8 e 9

Given ratio of the ingredients = \(\frac{5}{2}:\frac{11}{4}:\frac{4}{3}\) --> Multiply by 6 = 15:16.5:8 Thus, for making 6 cakes, we need 16.5 cups of sugar, however as we have only 16, the no of cakes we can make is only 5. A.
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A recipe requires 2 1/2 (mixed number) cups of flour 2 3/4 (mixed number) cups of sugar and 1 1/3 (mixed number) cups of milk to make one cake. Victor has 15 cups if flour, 16 cups of sugar and 8 cups of milk. What is the greatest number of cakes Victor can make using this recipe?

Re: A recipe requires 2 1/2 cups of flour 2 3/4 cups of sugar [#permalink]

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26 Jan 2014, 19:15

A recipe requires 2 1/2 (mixed number) cups of flour 2 3/4 (mixed number) cups of sugar and 1 1/3 (mixed number) cups of milk to make one cake. Victor has 15 cups if flour, 16 cups of sugar and 8 cups of milk. What is the greatest number of cakes Victor can make using this recipe?

-----------------

You will be limited by the ingredient that can bake the lowest number of cakes.

Flour: 15 / 5/2 = 6 cakes Sugar: 16 / 11/4 = 5 cakes (round down since can't partial cake is equivalent to no cake) Milk: 8 / 4/3 = 6 cakes

Re: A recipe requires 2 1/2 cups of flour 2 3/4 cups of sugar [#permalink]

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14 Jul 2015, 10:21

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Re: A recipe requires 2 1/2 cups of flour 2 3/4 cups of sugar [#permalink]

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22 Oct 2016, 02:44

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Re: A recipe requires 2 1/2 cups of flour 2 3/4 cups of sugar [#permalink]

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07 Nov 2016, 12:56

I thought about this question logically...

If we know the amount available to us and the amount required, we will be able to figure out the answer based on whichever input we have the least of. That will significantly limit what we can do with the other two inputs.

(1) We have 5/2 (or 2.5 cups) of flour available to us --> 15/(5/2) = 6 recipes worth of flour (2) 11/4 cups of sugar --> 16/(11/4) = 5 recipes worth of sugar

We don't need to go beyond this point because we already have 5 as an answer choice.