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A certain seafood restaurant gets a delivery of fresh seafood

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Status: Gathering chakra
Joined: 05 Feb 2018
Posts: 65
A certain seafood restaurant gets a delivery of fresh seafood  [#permalink]

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06 Feb 2019, 17:07
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00:00

Difficulty:

35% (medium)

Question Stats:

64% (01:09) correct 36% (03:01) wrong based on 11 sessions

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A certain seafood restaurant gets a delivery of fresh seafood every day of the week. If the delivery company charges $$d$$ dollars per delivery and $$c$$ cents per delivered item and the restaurant has an average (arithmetic mean) of $$x$$ items delivered per day, then which of the following is an expression for the total cost, in dollars, of one week’s deliveries?

A) $$\frac{7cdx}{100}$$

B) $$d+\frac{7cx}{100}$$

C) $$7d+\frac{xc}{100}$$

D) $$7d+\frac{7xc}{100}$$

E) $$7cdx$$

I tried to write the equation instead of choosing numbers. Got tripped up on C as mentioned below, because I forgot to multiply the average x by 7 (since x is avg per day, and we need per week). Sad!

Official explanation:
Since the answer choices contain variables, this is a good place to Plug In. Let’s make d = 10, c = 200 (a particularly helpful number, because it allows us to work the problem in whole dollar amounts), and x = 5. If the restaurant has an average of 5 items per day delivered, then it had a total of 35 items delivered for the week. Multiplied by the 200 cents (or $2) charge per item, that’s a total of$70 in per-item charges. When we add that amount to the $70 total for the per-delivery charges—7 deliveries at$10 per delivery—we get a total of \$140 for the week. Our target answer, then, is 140; only (D) gives us 140 when we plug our values into our answer choices, and, therefore, (D) is the correct answer.

If you got (C), by the way, check your calculations for your target answer. You likely calculated the per-item charges as though x were the total, rather than the daily average, of the items delivered.
Director
Joined: 18 Jul 2018
Posts: 679
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: A certain seafood restaurant gets a delivery of fresh seafood  [#permalink]

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06 Feb 2019, 19:14
Cost of the items delivered is cx. for 7 days it is 7cx. Now, this is cents. converting it to dollars gives 7xc/100.
Also, the delivery company charges d dollars per day, then for 7 days, its 7d.
Total = 7d+7xc/100

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Re: A certain seafood restaurant gets a delivery of fresh seafood   [#permalink] 06 Feb 2019, 19:14
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