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Cape Cod Cookies makes cookies of identical size from batche

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Cape Cod Cookies makes cookies of identical size from batche [#permalink] New post 25 Mar 2018, 10:49
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Question Stats:

88% (01:47) correct 11% (05:48) wrong based on 9 sessions
Cape Cod Cookies makes cookies of identical size from batches of cookie dough weighing 600 ounces. Cape Cod Cookies decides to modify the recipe by decreasing the weight of each cookie by 1 ounce. If Cape Cod Cookies discovers that it is now able to make 30 more cookies using the same batch of dough weighing 600 ounces, how much did each cookie originally weigh?

A. 2

B. 3

C. 4

D. 5

E. 6
[Reveal] Spoiler: OA

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Re: Cape Cod Cookies makes cookies of identical size from batche [#permalink] New post 25 Mar 2018, 17:54
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There are a few ways to solve this problem. You can use algebra, but you will quickly find that it degenerates into a fairly nasty quadratic equation.
Easier than that is to just try the answer choices and see what works. Since answer choices are almost always in either descending or ascending order, it's often a good strategy to start with C, since if C is too small, we can pick a larger value, and if it's too large, we can pick a smaller. However, picking B or D is actually a little better, provided the numbers aren't harder than C.

Let's try B first. If every cookie were 3 ounces originally, then there must've been 600/3 = 200 cookies originally. If we decrease the weight by 1 ounce to 2 ounces, now there must be 300 cookies. This is an increase of 100, so B is wrong. But is it too big or too small? Well, since we started with a small sized cookie, a change of 1 ounce made a pretty big difference, so picking a larger size should make a smaller difference.

Let's try D. If the original weight were 5, then we started with 120 cookies. Decreasing the weight to 4 gives us 150 cookies. Since this is an increase of 30 cookies, this must be the right answer. D it is.
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Re: Cape Cod Cookies makes cookies of identical size from batche   [#permalink] 25 Mar 2018, 17:54
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