Emma had to finish her 249-page novel by Friday. She had already read 166 pages. Write and solve an equation to show how many pages Emma had left to read by Friday.

A. [tex]p + 166 = 249 \quad \Rightarrow \quad p = 83[/tex] pages
B. [tex]p - 166 = 249 \quad \Rightarrow \quad p = 415[/tex] pages
C. [tex]\frac{p}{166} = 2 \quad \Rightarrow \quad p = 332[/tex] pages
D. [tex]83p = 166 \quad \Rightarrow \quad p = 2[/tex] pages



Answer :

Let's go through the question step by step to understand how to solve it correctly. We need to find out how many pages Emma has left to read in her novel.

Given:
- Total pages in the novel: 249
- Pages already read by Emma: 166

To find out how many pages Emma has left to read, we need to subtract the number of pages she has already read from the total number of pages.

Step-by-Step Solution:

1. Let [tex]\( p \)[/tex] represent the number of pages Emma has left to read.
2. We can set up the equation based on the given information:

[tex]\[ \text{Total pages} = \text{Pages read} + \text{Pages left to read} \][/tex]

Translating this into an equation:

[tex]\[ 249 = 166 + p \][/tex]

3. To find [tex]\( p \)[/tex], isolate [tex]\( p \)[/tex] by subtracting 166 from both sides of the equation:

[tex]\[ 249 - 166 = p \][/tex]

4. Perform the subtraction:

[tex]\[ 83 = p \][/tex]

Therefore, Emma has [tex]\(\boxed{83}\)[/tex] pages left to read.

Among the given options, the correct one is:

[tex]\[ p + 166 = 249, \quad p = 83 \text{ pages} \][/tex]