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If Elier can bake c cakes in h hours, then at this rate how

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If Elier can bake c cakes in h hours, then at this rate how [#permalink] New post 31 May 2017, 07:19
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Question Stats:

76% (00:43) correct 23% (00:49) wrong based on 34 sessions
If Elier can bake c cakes in h hours, then at this rate how many hours will it take him to bake 777 cakes?

A. \(777ch\)

B. \(\frac{777h}{c}\)

C. \(\frac{h}{777c}\)

D. \(\frac{777c}{h}\)

E. \(\frac{c}{777h}\)


Drill 2
Question: 12
Page: 339
[Reveal] Spoiler: OA

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Re: If Elier can bake c cakes in h hours, then at this rate how [#permalink] New post 02 Jul 2017, 14:54
Expert's post
Explanation

Plug in your own numbers for c and h.

Let’s say Elier can bake 14 cakes in 2 hours; this makes c = 14 and h = 2. That means he can bake 7 cakes per hour. At this rate, it will take him 111 hours to bake 777 cakes. Circle 111 as your target number. When you plug in your values, choices (A) and (D) are way too big. Choices (C) and (E) are way too small. Using your calculator, you can determine that choice (B) matches.
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Re: If Elier can bake c cakes in h hours, then at this rate how [#permalink] New post 04 Jul 2017, 15:27
Expert's post
sandy wrote:
If Elier can bake c cakes in h hours, then at this rate how many hours will it take him to bake 777 cakes?

A. \(777ch\)

B. \(\frac{777h}{c}\)

C. \(\frac{h}{777c}\)

D. \(\frac{777c}{h}\)

E. \(\frac{c}{777h}\)


Drill 2
Question: 12
Page: 339



Elier can bake c cakes in h hours
So, Elier can bake ONE cake in h/c hours
So, Elier can bake TWO cakes in 2h/c hours (twice the time for ONE cake)
So, Elier can bake THREE cakes in 3h/c hours (three times the time for ONE cake)
.
.
.
So, Elier can bake 777 cakes in 777h/c hours

Answer:
[Reveal] Spoiler:
B

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Re: If Elier can bake c cakes in h hours, then at this rate how [#permalink] New post 26 Jul 2017, 00:34
The other method I used is: work = rate * time
Picking random numbers:
100 cakes --> 4 hours
1 cake --> 4 hours/ 100 cakes (we can see its h/c)
so 777 cakes --> 777 *h/c
Would the above method be right to approach this kind of question?
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Re: If Elier can bake c cakes in h hours, then at this rate how [#permalink] New post 29 May 2018, 06:52
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sandy wrote:
If Elier can bake c cakes in h hours, then at this rate how many hours will it take him to bake 777 cakes?

A. \(777ch\)

B. \(\frac{777h}{c}\)

C. \(\frac{h}{777c}\)

D. \(\frac{777c}{h}\)

E. \(\frac{c}{777h}\)


Elier’s rate is c/h, so it will take him 777/(c/h) = 777h/c hours to bake 777 cakes.

Alternate Solution:

We can set up a proportion to solve this problem, letting x = the number of hours to bake 777 cakes:

c/h = 777/x

cx = 777h

x = 777h/c

Answer: B
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Re: If Elier can bake c cakes in h hours, then at this rate how   [#permalink] 29 May 2018, 06:52
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