Calculating Reading Percentages and Proportions

MathematicsRatios, Proportions, and PercentagesEasy

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Olivia has read 40 pages of a 70-page book, 60 pages of an 85-page book, and 43 pages of a 65-page book.

Part A

Create proportion to represent the percent of pages that Olivia has read. (pages read/total = $x/100$)

Part B

What is the percentage of pages that Olivia has NOT read?

Animated Video Solution

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Step by Step Written Solution

1
Step 1

In this problem, we need to calculate the total percentage of pages Olivia has read and not read across three different books. Let's start by organizing the data given in the problem statement.

Reading Progress Data

2
Step 2

Olivia has read forty pages of a seventy page book, sixty pages of an eighty-five page book, and forty-three pages of a sixty-five page book. Let's sum these up to find the total pages read and the total pages overall.

BookPages ReadTotal Pages
Book 14070
Book 26085
Book 34365
3
Step 3

First, let's calculate the total number of pages read by adding forty, sixty, and forty-three.

$$Total\ Read = 40 + 60 + 43 = 143$$
4
Step 4

Next, we find the total number of pages in all three books by adding seventy, eighty-five, and sixty-five.

$$Total\ Pages = 70 + 85 + 65 = 220$$
5
Step 5

Now for Part A, we need to create a proportion to represent the percent of pages read. The problem gives us the template: pages read over total equals x over one hundred.

Part A: Create a Proportion

$$ \frac{Pages\ Read}{Total\ Pages} = \frac{x}{100}$$
6
Step 6

Substituting our calculated values, we get one hundred forty-three over two hundred twenty equals x over one hundred.

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About This Question

Subject
Mathematics
Topic
Ratios, Proportions, and Percentages
Difficulty
Easy
Question Type
Open Ended

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