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Horace is a professional hair stylist. Let C represent the number of child haircuts and A represent the number of adult haircuts that Horace can give within 7 hours. 0.75 C+1.25 A <= 7 Horace gave 5 child haircuts. How many adult haircuts at most can he give with the remaining time? Choose 1 answer: (A) Horace can give at most 1 adult haircut. (B) Horace can give at most 2 adult haircuts. (c) Horace can give at most 3 adult haircuts. (D) Horace can give at most 5 adult haircuts.

Horace is a professional hair stylist.\newlineLet CC represent the number of child haircuts and AA represent the number of adult haircuts that Horace can give within 77 hours.\newline0.75C+1.25A≤70.75C + 1.25A \leq 7\newlineHorace gave 55 child haircuts. How many adult haircuts at most can he give with the remaining time?\newlineChoose 11 answer:\newline(A) Horace can give at most 11 adult haircut.\newline(B) Horace can give at most 22 adult haircuts.\newline(C) Horace can give at most 33 adult haircuts.\newline(D) Horace can give at most 55 adult haircuts.

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Q. Horace is a professional hair stylist.\newlineLet CC represent the number of child haircuts and AA represent the number of adult haircuts that Horace can give within 77 hours.\newline0.75C+1.25A≤70.75C + 1.25A \leq 7\newlineHorace gave 55 child haircuts. How many adult haircuts at most can he give with the remaining time?\newlineChoose 11 answer:\newline(A) Horace can give at most 11 adult haircut.\newline(B) Horace can give at most 22 adult haircuts.\newline(C) Horace can give at most 33 adult haircuts.\newline(D) Horace can give at most 55 adult haircuts.
  1. Identify Given Inequality: Identify the given inequality and the number of child haircuts Horace has given.\newlineThe inequality given is 0.75C+1.25A≤70.75C + 1.25A \leq 7, where CC is the number of child haircuts and AA is the number of adult haircuts Horace can give within 77 hours. Horace has given 55 child haircuts.
  2. Substitute Child Haircuts: Substitute the number of child haircuts into the inequality to find the remaining time for adult haircuts.\newlineSubstitute CC with 55 in the inequality 0.75C+1.25A≤70.75C + 1.25A \leq 7.\newline0.75×5+1.25A≤70.75 \times 5 + 1.25A \leq 7\newlineCalculate the product of 0.750.75 and 55.\newline3.75+1.25A≤73.75 + 1.25A \leq 7
  3. Find Time for Adult Haircuts: Subtract the time used for child haircuts from the total available time to find the time left for adult haircuts.\newlineSubtract 3.753.75 from both sides of the inequality.\newline1.25A≤7−3.751.25A \leq 7 - 3.75\newlineCalculate the difference.\newline1.25A≤3.251.25A \leq 3.25
  4. Divide by Time per Adult Haircut: Divide both sides of the inequality by the time it takes to give one adult haircut to find the maximum number of adult haircuts Horace can give.\newlineDivide both sides by 1.251.25.\newlineA≤3.251.25A \leq \frac{3.25}{1.25}\newlineCalculate the quotient.\newlineA≤2.6A \leq 2.6
  5. Round to Nearest Whole Number: Since Horace cannot give a fraction of a haircut, we round down to the nearest whole number to find the maximum number of adult haircuts he can give.\newlineHorace can give at most 22 adult haircuts.

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