0.75C+1.25A≤7Horace 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.
Q. 0.75C+1.25A≤7Horace 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.
Substitute C into inequality: First, let's substitute the value of C (number of child haircuts) into the inequality. Given C=5, we substitute this value into the inequality 0.75C+1.25A≤7.Calculation: 0.75×5+1.25A≤7
Perform multiplication to simplify: Now, let's perform the multiplication to simplify the inequality.Calculation: 3.75+1.25A≤7
Isolate variable A: Next, we isolate the variable A by subtracting 3.75 from both sides of the inequality.Calculation: 1.25A≤7−3.75
Find maximum time for adult haircuts: Perform the subtraction to find the maximum amount of time Horace can spend on adult haircuts.Calculation: 1.25A≤3.25
Solve for A: Now, we solve for A by dividing both sides of the inequality by 1.25 to find the maximum number of adult haircuts Horace can give.Calculation: A≤1.253.25
Find maximum number of adult haircuts: Perform the division to find the maximum number of adult haircuts.Calculation: A≤2.6
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