Question

britney sets a limit on how much money she can spend at restaurants during the month of june. she divides the total amount evenly among the 5 times she expects to go to restaurants. britney determines she should spend less than $20 each time. let x represent how much britney wants to spend at restaurants in june. which inequality describes the problem? $\frac{x}{5}<20$ $\frac{x}{5}leq20$ solve the inequality. then, complete the sentence to describe the solution. britney wants to spend less than $ at restaurants in june.

Explanation:

Step1: Analyze the problem

Britney divides total amount $x$ by 5 visits and wants less than $20$ per - visit. So the inequality is $\frac{x}{5}<20$.

Step2: Solve the inequality

Multiply both sides of $\frac{x}{5}<20$ by 5. We get $x < 20\times5$.

Step3: Calculate the result

$20\times5 = 100$, so $x<100$.

Answer:

The inequality that describes the problem is $\frac{x}{5}<20$. Britney wants to spend less than $\$100$ at restaurants in June.