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Ted and his friends went out to dinner after soccer practice last night. They decided to split the bill evenly among the 55 of them. Including the tip, Ted figured that each person will pay no more than $15\$15.\newlineLet xx represent how much Ted expected the group to pay in all. Which inequality describes the problem?\newlineChoices:\newline(A)\frac{x}{5} < 15\newline(B)x5≤15\frac{x}{5} \leq 15\newlineSolve the inequality. Then, complete the sentence to describe the solution.\newlineTed expected the group to pay at most $\$____ in all.

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Q. Ted and his friends went out to dinner after soccer practice last night. They decided to split the bill evenly among the 55 of them. Including the tip, Ted figured that each person will pay no more than $15\$15.\newlineLet xx represent how much Ted expected the group to pay in all. Which inequality describes the problem?\newlineChoices:\newline(A)x5<15\frac{x}{5} < 15\newline(B)x5≤15\frac{x}{5} \leq 15\newlineSolve the inequality. Then, complete the sentence to describe the solution.\newlineTed expected the group to pay at most $\$____ in all.
  1. Understand the problem: Step 11: Understand the problem and set up the inequality.\newlineTed and his friends want each person to pay no more than $15\$15. Since there are 55 people, we multiply $15\$15 by 55 to find the total maximum amount they can spend.\newlineCalculation: 15×5=7515 \times 5 = 75
  2. Write the inequality: Step 22: Write the inequality.\newlineThe total amount xx, divided by 55, should be less than or equal to 1515. This matches choice (B) x5≤15\frac{x}{5} \leq 15.
  3. Solve the inequality: Step 33: Solve the inequality.\newlineMultiply both sides of the inequality x5≤15\frac{x}{5} \leq 15 by 55 to isolate xx.\newlineCalculation: x≤15×5x \leq 15 \times 5\newlinex≤75x \leq 75

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