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Last year's receipts from the sale of candy on Valentine's Day totaled

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carcass
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Last year's receipts from the sale of candy on Valentine's Day totaled [#permalink] New post   28 May 2017, 02:57
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Last year's receipts from the sale of candy on Valentine's Day totaled 385 million dollars, which represented 7 percent of total candy sales for the year. Candy sales for the year totaled how many million dollars?

(A) 55

(B) 550

(C) 2,695

(D) 5,500

(E) 26,950
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Bunuel
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Last year's receipts from the sale of candy on Valentine's Day totaled [#permalink] New post   28 May 2017, 03:20
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carcass wrote:
Last year's receipts from the sale of candy on Valentine's Day totaled 385 million dollars, which represented 7 percent of total candy sales for the year. Candy sales for the year totaled how many million dollars?

(A) 55

(B) 550

(C) 2,695

(D) 5,500

(E) 26,950


385 million dollars = 7% of total candy sales;

\(385 = \frac{7}{100}*x\);

\(x =\frac{385*100}{7} = 5,500\).

Answer: D.
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Re: Last year's receipts from the sale of candy on Valentine's Day totaled [#permalink] New post   28 May 2017, 03:31
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Since 385 million $ is 7% of the total candy sales, 1% is 55 million dollars.
Hence, 100% of the candy sales is 5500 million dollars(Option D)
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Re: Last year's receipts from the sale of candy on Valentine's Day totaled [#permalink] New post   28 May 2017, 04:02
D because if 7% is 385 then 1% is 55 and 100% will be 5500


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Re: Last year's receipts from the sale of candy on Valentine's Day totaled [#permalink] New post   22 May 2018, 17:58
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carcass wrote:
Last year's receipts from the sale of candy on Valentine's Day totaled 385 million dollars, which represented 7 percent of total candy sales for the year. Candy sales for the year totaled how many million dollars?

(A) 55

(B) 550

(C) 2,695

(D) 5,500

(E) 26,950


Letting n = the total candy sales for the year, we can create a proportion:

7/385 = 100/n

7n = 385 x 100

n = 55 x 100 = 5500

Alternate Solution:

Letting n = the total candy sales for the year, we can create the following equation:

0.07n = 385

7n = 38500

n = 5500 million

Answer: D
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Re: Last year's receipts from the sale of candy on Valentine's Day totaled [#permalink] New post   19 Sep 2018, 17:38
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carcass wrote:
Last year's receipts from the sale of candy on Valentine's Day totaled 385 million dollars, which represented 7 percent of total candy sales for the year. Candy sales for the year totaled how many million dollars?

(A) 55

(B) 550

(C) 2,695

(D) 5,500

(E) 26,950


GIVEN: 385 million dollars represents 7% of TOTAL candy sales
In other words: 7% of TOTAL candy sales = 385 million dollars
Rewrite as: (7/100)(TOTAL candy sales) = 385 million
To multiply both sides by 100/7 to get: TOTAL candy sales = (100/7)(385 million)

ASIDE: We need not perform any complex calculations here.
Notice that the answer choices are VERY spread apart. This means we can be quite AGGRESSIVE with our estimation.
100/7 ≈ 14 and 385 million is close to 400 million
In fact, let's round 100/7 all the way up to 15

We get: TOTAL candy sales ≈ (15)(400 million)
≈6,000 million dollars

Check the answer choices.....only one answer choice is close to 6,000

Answer: D

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Re: Last year's receipts from the sale of candy on Valentine's Day totaled [#permalink] New post   19 Sep 2018, 20:23
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Given Information
385 million dollars represent 7 percent of total candy sales for the year

Lets take total candy sales is X

Now, 385 = 7/100 * X
X = 385*100/7 = 5,500

Answer D
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Re: Last year's receipts from the sale of candy on Valentine's Day totaled [#permalink] New post   20 Sep 2018, 23:07
385 = 7
x = 100

Cross multiply it.

7x = 38500
x=38500/7
x=5500

Answer is D
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Re: Last year's receipts from the sale of candy on Valentine's Day totaled [#permalink] New post   20 Sep 2018, 23:16
carcass wrote:
Last year's receipts from the sale of candy on Valentine's Day totaled 385 million dollars, which represented 7 percent of total candy sales for the year. Candy sales for the year totaled how many million dollars?

(A) 55

(B) 550

(C) 2,695

(D) 5,500

(E) 26,950

\(\frac{385}{7}*100 = 5500\), Answer must be (D)
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Re: Last year's receipts from the sale of candy on Valentine's Day totaled [#permalink] New post   27 May 2023, 02:39
To find the total candy sales for the year, we can set up a proportion using the information given.

Let's assume the total candy sales for the year are represented by 'x' million dollars.

The receipts from the sale of candy on Valentine's Day, which totaled 385 million dollars, represented 7 percent of the total candy sales for the year.

We can set up the proportion as follows:
385 / x = 7 / 100

To solve for 'x', we can cross-multiply:
385 * 100 = 7 * x

38500 = 7x

Dividing both sides by 7:
5500 = x

Therefore, the total candy sales for the year totaled 5500 million dollars, which corresponds to option (D) in the given choices.
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Re: Last year's receipts from the sale of candy on Valentine's Day totaled [#permalink]
27 May 2023, 02:39
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