Question

inequality. then solve the equation/inequality, make sure to show work.

situation: deanna bought x packs of stamps to give to her friends. each pack of stamps costs $4. she spent a total of $20 on stamps. how many packs did she buy?
inequality/equation:
solution
graphed solution:

situation: robby spent $20 from his savings account to purchase a new top. he has $60 left. how much money, x, did he have in his savings account before he bought the top?
inequality/equation:
solution
graphed solution:

situation: meg has x pieces of chocolate. she is splitting them amongst 4 friends. if each friend gets more than 12 pieces, how many pieces did she start with?
inequality/equation:
solution
graphed solution:

Explanation:

First Situation (Deanna's Stamps)

Step1: Define the equation

Let \( x \) be the number of packs. Each pack costs $4, total spent is $20. So the equation is \( 4x = 20 \).

Step2: Solve for \( x \)

Divide both sides by 4: \( x=\frac{20}{4}=5 \).

Step1: Define the equation

Let \( x \) be the initial savings. He spent $20 and has $60 left. So \( x - 20 = 60 \).

Step2: Solve for \( x \)

Add 20 to both sides: \( x=60 + 20=80 \).

Step1: Define the inequality

Let \( x \) be the total pieces. Splitting among 4 friends, each gets more than 12. So \( \frac{x}{4}>12 \).

Step2: Solve for \( x \)

Multiply both sides by 4: \( x > 48 \).

Answer:

Inequality/Equation: \( 4x = 20 \)
Solution: \( x = 5 \)
Graphed Solution: A number line with a closed dot at 5 (since it's an equation, not an inequality, the solution is a single point).

Second Situation (Robby's Savings)