Question

The Bluepoint High School science department can spend no more than $1,400 on textbooks this year. The department needs to buy both Biology textbooks, which cost $94 apiece, and Chemistry textbooks, which cost $84 apiece.
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of Biology textbooks
y = the number of Chemistry textbooks

Answer 1

To formulate the inequality that represents the spending limit of the Bluepoint High School science department on textbooks, we first define the cost of each type of textbook and how it relates to the total budget.

Given:
- The cost of each Biology textbook is $94.
- The cost of each Chemistry textbook is $84.
- The total budget for textbooks is $1,400.

Let:
- \( x \) = the number of Biology textbooks
- \( y \) = the number of Chemistry textbooks

The total cost for Biology textbooks is \( 94x \), and the total cost for Chemistry textbooks is \( 84y \).

The inequality representing the total cost being less than or equal to the budget is:

\[
94x + 84y \leq 1400
\]

This is the inequality in standard form that describes the situation.