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Dave went to a game convention to buy packs of trading cards. Each pack cost $\$5$ . To get all of the cards he wanted, he went over his $\$20$ budget. $\newline$ Let $x$ represent how many packs of trading cards Dave bought. Which inequality describes the problem? $\newline$ Choices: $\newline$ (A) 5x > 20 $\newline$ (B) 5x < 20 $\newline$ Solve the inequality. Then, complete the sentence to describe the solution. $\newline$ Dave bought more than ____ packs of trading cards.

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One-step inequalities: word problems

Full solution

Q. Dave went to a game convention to buy packs of trading cards. Each pack cost

\$5

. To get all of the cards he wanted, he went over his

\$20

budget.

\newline

Let

x

represent how many packs of trading cards Dave bought. Which inequality describes the problem?

\newline

Choices:

\newline

(A)

5x > 20

\newline

(B)

5x < 20

\newline

Solve the inequality. Then, complete the sentence to describe the solution.

\newline

Dave bought more than ____ packs of trading cards.

Define Problem Inequality: Step $1$ : Define the problem in terms of an inequality. $\newline$ Dave spent more than his $\$20$ budget on trading card packs, each costing $\$5$ . Let $x$ be the number of packs he bought. The inequality to represent this situation is 5x > 20, where $5x$ represents the total cost of the packs.
Solve the Inequality: Step $2$ : Solve the inequality. $\newline$ Starting with 5x > 20, divide both sides by $5$ to isolate $x$ : $\newline$ x > \frac{20}{5} $\newline$ x > 4
Interpret the Solution: Step $3$ : Interpret the solution. $\newline$ Since x > 4, Dave bought more than $4$ packs of trading cards.

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