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0.75 C+1.25 A <= 7
Horace works as a professional hair stylist. The given inequality shows the amount of time, in hours, Horace spends on giving haircuts each day, where 
C represents the number of child haircuts and 
A represents the number of adult haircuts. If Horace gave 5 child haircuts today, what is the most number of adult haircuts he can 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.

0.75C+1.25A70.75C+1.25A \leq 7\newlineHorace works as a professional hair stylist. The given inequality shows the amount of time, in hours, Horace spends on giving haircuts each day, where \newlineCC represents the number of child haircuts and \newlineAA represents the number of adult haircuts. If Horace gave 55 child haircuts today, what is the most number of adult haircuts he can 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.

Full solution

Q. 0.75C+1.25A70.75C+1.25A \leq 7\newlineHorace works as a professional hair stylist. The given inequality shows the amount of time, in hours, Horace spends on giving haircuts each day, where \newlineCC represents the number of child haircuts and \newlineAA represents the number of adult haircuts. If Horace gave 55 child haircuts today, what is the most number of adult haircuts he can 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. Substitute C into inequality: First, let's substitute the value of C (number of child haircuts) into the inequality. Given C=5C = 5, we substitute this value into the inequality 0.75C+1.25A70.75C + 1.25A \leq 7.\newlineCalculation: 0.75×5+1.25A70.75 \times 5 + 1.25A \leq 7
  2. Perform multiplication to simplify: Now, let's perform the multiplication to simplify the inequality.\newlineCalculation: 3.75+1.25A73.75 + 1.25A \leq 7
  3. Isolate variable A: Next, we isolate the variable A by subtracting 3.753.75 from both sides of the inequality.\newlineCalculation: 1.25A73.751.25A \leq 7 - 3.75
  4. Find maximum time for adult haircuts: Perform the subtraction to find the maximum amount of time Horace can spend on adult haircuts.\newlineCalculation: 1.25A3.251.25A \leq 3.25
  5. Solve for A: Now, we solve for AA by dividing both sides of the inequality by 1.251.25 to find the maximum number of adult haircuts Horace can give.\newlineCalculation: A3.251.25A \leq \frac{3.25}{1.25}
  6. Find maximum number of adult haircuts: Perform the division to find the maximum number of adult haircuts.\newlineCalculation: A2.6A \leq 2.6

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