QuestionIn 2016, there are $153,000$ writers. $12.4\%$ have some college, $84.1\%$ have a degree. Find the difference in numbers. A, B, C, D?

Studdy Solution

STEP 1

Assumptions1. The projected number of employed writers and authors in2016 is153,000.12.4% of those will have some college experience but no degree3.84.1% will have a bachelor's degree or higher

STEP 2

First, we need to find the number of writers and authors with some college experience but no degree. We can do this by multiplying the total number of writers and authors by the percentage that have some college experience but no degree.
$Number\, with\, some\, college\, experience = Total\, number \\times Percentage\, with\, some\, college\, experience$

STEP 3

Now, plug in the given values for the total number of writers and authors and the percentage with some college experience to calculate the number with some college experience.
$Number\, with\, some\, college\, experience =153,000 \\times12.\%$

STEP 4

Convert the percentage to a decimal value.
$12.4\% =0.124$ $Number\, with\, some\, college\, experience =153,000 \\times0.124$

STEP 5

Calculate the number of writers and authors with some college experience.
$Number\, with\, some\, college\, experience =153,000 \\times0.124 =18,972$

STEP 6

Next, we need to find the number of writers and authors with a bachelor's degree or higher. We can do this by multiplying the total number of writers and authors by the percentage that have a bachelor's degree or higher.
$Number\, with\, bachelor's\, degree = Total\, number \\times Percentage\, with\, bachelor's\, degree$

STEP 7

Now, plug in the given values for the total number of writers and authors and the percentage with a bachelor's degree to calculate the number with a bachelor's degree.
$Number\, with\, bachelor's\, degree =153,000 \\times84.1\%$

STEP 8

Convert the percentage to a decimal value.
$84.1\% =0.841$ $Number\, with\, bachelor's\, degree =153,000 \\times0.841$

STEP 9

Calculate the number of writers and authors with a bachelor's degree.
$Number\, with\, bachelor's\, degree =153,000 \\times.841 =128,673$

STEP 10

Now that we have the number of writers and authors with some college experience and the number with a bachelor's degree, we can subtract the former from the latter to find the difference.
$Difference = Number\, with\, bachelor's\, degree - Number\, with\, some\, college\, experience$

STEP 11

Plug in the values for the number with a bachelor's degree and the number with some college experience to calculate the difference.
$Difference =128,673 -18,972$

STEP 12

Calculate the difference.
$Difference =128,673 -18,972 =109,701$ So, there will be109,701 more writers and authors with a bachelor's degree than those with only some college experience and no degree. The answer is B.

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