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Eggs cost 90¢ a dozen. Peppers cost 20¢ each. An omelet consists of 3

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Joined: 02 Sep 2009
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Kudos [?]: 135406 [0], given: 12692

Eggs cost 90¢ a dozen. Peppers cost 20¢ each. An omelet consists of 3 [#permalink]

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New post 24 Oct 2017, 00:35
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A
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D
E

Difficulty:

  25% (medium)

Question Stats:

93% (00:52) correct 7% (00:28) wrong based on 42 sessions

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Eggs cost 90¢ a dozen. Peppers cost 20¢ each. An omelet consists of 3 eggs and 1/4 of a pepper. How much will the ingredients for 8 omelets cost?

(A) $.90
(B) $1.30
(C) $1.80
(D) $2.20
(E) $2.70
[Reveal] Spoiler: OA

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Kudos [?]: 135406 [0], given: 12692

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Joined: 22 May 2016
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Kudos [?]: 398 [0], given: 640

Eggs cost 90¢ a dozen. Peppers cost 20¢ each. An omelet consists of 3 [#permalink]

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New post 24 Oct 2017, 06:33
Bunuel wrote:
Eggs cost 90¢ a dozen. Peppers cost 20¢ each. An omelet consists of 3 eggs and 1/4 of a pepper. How much will the ingredients for 8 omelets cost?

(A) $.90
(B) $1.30
(C) $1.80
(D) $2.20
(E) $2.70

This question can be solved using a whole batch or per omelette approach. I did both, to check math.

Batch

Each omelette requires 3 eggs and 1/4 of a pepper.

So 8 omelettes require:
8 * 3 eggs = 24 eggs
8 * \(\frac{1}{4} =\frac{8}{4}=2\) peppers

So: 24 eggs and 2 peppers

1 dozen = 12 eggs; 2 doz = 24 eggs

--Eggs cost 90 cents/dozen
90¢ * 2 dozen = 180 cents
--Peppers cost 20 cents/ea
20¢ * 2 = 40 cents
--(180 + 40) = 220 cents total

100 cents = 1 dollar

To convert from cents to dollars, move the decimal point two places to the left.
Or divide by 100
Or multiply by .01
Or, finally

220 cents * \(\frac{1dollar}{100cents}\) = 2.20 dollars: $2.20

Answer D

Per omelette
Each omelette requires 3 eggs and 1/4 of a pepper.

The cost per omelette:

There are 12 eggs in a dozen.

Each egg costs \(\frac{90¢}{12}\) = 7.5 cents.
We need 3 eggs.
Total cost, eggs:
(7.5¢)(3) = 22.5¢

Each \(\frac{1}{4}\) pepper costs \(\frac{20¢}{4}\) = 5 cents
We need 1/4 pepper
Total: 5 cents

One omelette costs (22.5 + 5) =
27.5 cents

Eight omelettes cost (27.5¢ * 8) = 220 cents = $2.20

Answer D

Kudos [?]: 398 [0], given: 640

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Joined: 05 Dec 2016
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Kudos [?]: [0], given: 1

Eggs cost 90¢ a dozen. Peppers cost 20¢ each. An omelet consists of 3 [#permalink]

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New post 24 Oct 2017, 09:17
Easy calculation
Cost of one omelet = Cost of one egg + pepper

Cost of one egg = 90/12
Cost of pepper = 5

Eggs used per omelet = 3

Cost of 8 egg omelet = ( (90/12)*3 + 5)*8
= ((90/4)+5)*8
= (110/4)*8
= 22.00

Ans - D

This is to avoid calculations in points..

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Eggs cost 90¢ a dozen. Peppers cost 20¢ each. An omelet consists of 3   [#permalink] 24 Oct 2017, 09:17
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