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

\(\frac{c}{h}\) will give cakes baked per hour.
\(\frac{(Total No. of cakes baked)}{(Rate of cakes baked per hour)}\) = Time taken to bake total cakes.
Therefore time taken is \(\frac{777}{(c/h)}\) or \(\frac{777h}{c}\)

Option B is the correct answer.
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Bunuel
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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