Question

an english class has to read a through a 865-page for the spring semester. the students read 495 pages together in class, while the rest is assigned as homework. if bruce reads at a constant rate of 74 pages per night, what equation can be used to find the total number of nights it will take bruce to finish the book? represent the number of nights as the variable $x$.

Explanation:

Step1: Find homework pages

Total pages: 865, class pages: 495. So homework pages: $865 - 495$.

Step2: Relate nights and rate

Bruce reads 74 pages/night for $x$ nights, so total homework pages read: $74x$. This equals homework pages. So equation: $74x + 495 = 865$ (or $74x = 865 - 495$).

Answer:

$74x + 495 = 865$ (or equivalent like $74x = 865 - 495$)