$0.75 C+1.25 A \leq 7$ $\newline$ 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? $\newline$ Choose $1$ answer: $\newline$ (A) Horace can give at most $1$ adult haircut. $\newline$ (B) Horace can give at most $2$ adult haircuts. $\newline$ (C) Horace can give at most $3$ adult haircuts. $\newline$ D Horace can give at most $5$ adult haircuts.

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Math Problems

Grade 7

One-step inequalities: word problems

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0.75 C+1.25 A \leq 7

\newline

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?

\newline

Choose

1

answer:

\newline

(A) Horace can give at most

1

adult haircut.

\newline

(B) Horace can give at most

2

adult haircuts.

\newline

3

adult haircuts.

\newline

D Horace can give at most

5

adult haircuts.

Substitute $C$ value: Substitute the value of $C$ into the inequality.
Simplify multiplication: Simplify the multiplication.
Subtract $3.75$ : Subtract $3.75$ from both sides to isolate the term with $A$ .
Perform subtraction: Perform the subtraction.
Divide by $1$ . $25$ : Divide both sides by $1.25$ to solve for $A$ .
Calculate division: Calculate the division.