Math / Numbers & Operations

Question.5 Unit rates $2 N B$
Audrey read a total of 26 books over 13 months. If Audrey has read 40 books so far, how many months has she been with her book club? Solve using unit rates. $\square$ months submit

Studdy Solution

STEP 1

What is this asking? If Audrey reads at a steady pace, and it took her 13 months to read 26 books, how many months did it take her to read 40 books? Watch out! Don't mix up the number of books with the number of months!
Keep your units straight!

STEP 2

1. Calculate Audrey's reading rate.
2. Calculate the time it took Audrey to read 40 books.

STEP 3

We're given that Audrey read 26 books in 13 months.
To find her reading rate, we'll divide the number of books by the number of months.
This tells us how many books she reads per month.
It's like figuring out how many miles per hour a car travels!

STEP 4

$\frac{26 \text{ books}}{13 \text{ months}} = \frac{2 \cdot 13 \text{ books}}{1 \cdot 13 \text{ months}} = \frac{2 \text{ books}}{1 \text{ month}}$ So, Audrey's reading rate is 2 books per month!

STEP 5

Now, we know Audrey reads 2 books every month, and we want to know how long it took her to read 40 books.
We can set up a proportion!

STEP 6

Let $m$ be the number of months it took Audrey to read 40 books.
We can write the proportion: $\frac{2 \text{ books}}{1 \text{ month}} = \frac{40 \text{ books}}{m \text{ months}}$

STEP 7

To solve for $m$ , we can cross-multiply: $2 \cdot m = 40 \cdot 1$ $2m = 40$

STEP 8

Now, we want to isolate $m$ .
Since $m$ is being multiplied by 2, we'll divide both sides of the equation by 2: $\frac{2m}{2} = \frac{40}{2}$ $m = 20$

Question.5 Unit rates $2 N B$
Audrey read a total of 26 books over 13 months. If Audrey has read 40 books so far, how many months has she been with her book club? Solve using unit rates. $\square$ months submit

Studdy Solution

STEP 1

What is this asking? If Audrey reads at a steady pace, and it took her 13 months to read 26 books, how many months did it take her to read 40 books? Watch out! Don't mix up the number of books with the number of months!
Keep your units straight!

STEP 2

1. Calculate Audrey's reading rate.
2. Calculate the time it took Audrey to read 40 books.

STEP 3

We're given that Audrey read 26 books in 13 months.
To find her reading rate, we'll divide the number of books by the number of months.
This tells us how many books she reads per month.
It's like figuring out how many miles per hour a car travels!

STEP 4

$\frac{26 \text{ books}}{13 \text{ months}} = \frac{2 \cdot 13 \text{ books}}{1 \cdot 13 \text{ months}} = \frac{2 \text{ books}}{1 \text{ month}}$ So, Audrey's reading rate is 2 books per month!

STEP 5

Now, we know Audrey reads 2 books every month, and we want to know how long it took her to read 40 books.
We can set up a proportion!

STEP 6

Let $m$ be the number of months it took Audrey to read 40 books.
We can write the proportion: $\frac{2 \text{ books}}{1 \text{ month}} = \frac{40 \text{ books}}{m \text{ months}}$

STEP 7

To solve for $m$ , we can cross-multiply: $2 \cdot m = 40 \cdot 1$ $2m = 40$

STEP 8

Now, we want to isolate $m$ .
Since $m$ is being multiplied by 2, we'll divide both sides of the equation by 2: $\frac{2m}{2} = \frac{40}{2}$ $m = 20$

STEP 9

So, it took Audrey 20 months to read 40 books!

STEP 10

It took Audrey 20 months to read 40 books.

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Question.5 Unit rates 2NB2 N B2NBAudrey read a total of 26 books over 13 months. If Audrey has read 40 books so far, how many months has she been with her book club? Solve using unit rates. □\square□ months submit

Studdy Solution

STEP 1

What is this asking? If Audrey reads at a steady pace, and it took her 13 months to read 26 books, how many months did it take her to read 40 books? Watch out! Don't mix up the number of books with the number of months!Keep your units straight!

STEP 2

1. Calculate Audrey's reading rate.2. Calculate the time it took Audrey to read 40 books.

STEP 3

We're given that Audrey read **26 books** in **13 months**.To find her reading rate, we'll **divide** the **number of books** by the **number of months**.This tells us how many books she reads *per month*.It's like figuring out how many miles per hour a car travels!

STEP 4

STEP 5

Now, we know Audrey reads **2 books** every **month**, and we want to know how long it took her to read **40 books**.We can set up a proportion!

STEP 6

Let mmm be the number of months it took Audrey to read 40 books.We can write the proportion: 2 books1 month=40 booksm months \frac{2 \text{ books}}{1 \text{ month}} = \frac{40 \text{ books}}{m \text{ months}} 1 month2 books​=m months40 books​

STEP 7

To solve for mmm, we can **cross-multiply**: 2⋅m=40⋅1 2 \cdot m = 40 \cdot 1 2⋅m=40⋅1 2m=40 2m = 40 2m=40

STEP 8

Now, we want to **isolate** mmm.Since mmm is being multiplied by **2**, we'll **divide both sides** of the equation by **2**: 2m2=402 \frac{2m}{2} = \frac{40}{2} 22m​=240​ m=20 m = 20 m=20

STEP 9

So, it took Audrey **20 months** to read 40 books!

STEP 10

It took Audrey **20 months** to read 40 books.

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Studdy solves anything!

Start learning now

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Question.5 Unit rates $2 N B$
Audrey read a total of 26 books over 13 months. If Audrey has read 40 books so far, how many months has she been with her book club? Solve using unit rates. $\square$ months submit

What is this asking? If Audrey reads at a steady pace, and it took her 13 months to read 26 books, how many months did it take her to read 40 books? Watch out! Don't mix up the number of books with the number of months!
Keep your units straight!

1. Calculate Audrey's reading rate.
2. Calculate the time it took Audrey to read 40 books.

We're given that Audrey read 26 books in 13 months.
To find her reading rate, we'll divide the number of books by the number of months.
This tells us how many books she reads per month.
It's like figuring out how many miles per hour a car travels!

Now, we know Audrey reads 2 books every month, and we want to know how long it took her to read 40 books.
We can set up a proportion!

Let $m$ be the number of months it took Audrey to read 40 books.
We can write the proportion: $\frac{2 \text{ books}}{1 \text{ month}} = \frac{40 \text{ books}}{m \text{ months}}$

To solve for $m$ , we can cross-multiply: $2 \cdot m = 40 \cdot 1$ $2m = 40$

Now, we want to isolate $m$ .
Since $m$ is being multiplied by 2, we'll divide both sides of the equation by 2: $\frac{2m}{2} = \frac{40}{2}$ $m = 20$

So, it took Audrey 20 months to read 40 books!

It took Audrey 20 months to read 40 books.