Certainly! Let's solve this problem step-by-step.
Beth has \[tex]$25 to spend, and each cookie costs \$[/tex]1.25. We need to determine how many cookies Beth can buy with her \[tex]$25.
Here's the step-by-step method:
1. Define the Variable:
Let \( x \) be the number of cookies Beth can buy.
2. Set Up the Inequality:
Since Beth has \$[/tex]25 and each cookie costs \[tex]$1.25, we write the inequality:
\[
1.25x \leq 25
\]
This means the total cost of \( x \) cookies should be less than or equal to \$[/tex]25.
3. Solve the Inequality:
We need to isolate [tex]\( x \)[/tex] to determine how many cookies Beth can afford:
[tex]\[
x \leq \frac{25}{1.25}
\][/tex]
4. Divide to Find [tex]\( x \)[/tex]:
Performing the division:
[tex]\[
x \leq 20
\][/tex]
5. Interpret the Result:
Since [tex]\( x \)[/tex] represents the number of cookies Beth can buy, and it must be a whole number, the maximum number of cookies she can buy is 20.
So, Beth can buy up to 20 cookies with her \$25.
