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QuestionFind the percent of dark chocolate bars sold if 12,970 out of 20,256 were dark. Round to the nearest percent.

Studdy Solution

STEP 1

Assumptions1. The total number of chocolate bars sold is20,256. The number of dark chocolate bars sold is12,9703. We are asked to find the percentage of chocolate bars that were dark chocolate4. We are asked to round our answer to the nearest percent

STEP 2

First, we need to find the fraction of chocolate bars that were dark chocolate. We can do this by dividing the number of dark chocolate bars by the total number of chocolate bars.
Fraction of dark chocolate=Number of dark chocolate barsTotal number of chocolate barsFraction\, of\, dark\, chocolate = \frac{Number\, of\, dark\, chocolate\, bars}{Total\, number\, of\, chocolate\, bars}

STEP 3

Now, plug in the given values for the number of dark chocolate bars and the total number of chocolate bars to calculate the fraction of dark chocolate.
Fraction of dark chocolate=12,97020,256Fraction\, of\, dark\, chocolate = \frac{12,970}{20,256}

STEP 4

Calculate the fraction of dark chocolate.
Fraction of dark chocolate=12,97020,256=0.640Fraction\, of\, dark\, chocolate = \frac{12,970}{20,256} =0.640

STEP 5

Now that we have the fraction of dark chocolate, we can convert this to a percentage by multiplying by100.
Percentage of dark chocolate=Fraction of dark chocolatetimes100Percentage\, of\, dark\, chocolate = Fraction\, of\, dark\, chocolate \\times100

STEP 6

Plug in the value for the fraction of dark chocolate to calculate the percentage of dark chocolate.
Percentage of dark chocolate=0.640times100Percentage\, of\, dark\, chocolate =0.640 \\times100

STEP 7

Calculate the percentage of dark chocolate.
Percentage of dark chocolate=0.640times100=64%Percentage\, of\, dark\, chocolate =0.640 \\times100 =64\%

STEP 8

Now that we have the percentage of dark chocolate, we need to round this to the nearest percent. Since there are no decimal places in our percentage, we do not need to round.
The percent of chocolate bars that were dark chocolate is64%.

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