Question

You have $\$30$ to buy baseball cards. Each pack of cards costs $\$5$. Write and solve an inequality that represents the numbers of packs of baseball cards you can buy and still have at least$\$10$ left.

Answer 1

Step 1 : Given in the question

We have $\$30$ to buy baseball cards.

Each pack of cards costs $\$5$

Let the number of baseball cards we can buy is$=x$

As given we must have at least $\$10$ left after shopping

Step 2 : Solve the inequality

According to given condition in question the inequality is:
$\Rightarrow 5x+10\ge 30$

$\Rightarrow 5x\ge 30–10$ [ Subtract $10$ from both sides ]
$\Rightarrow 5x\ge 20$
$\Rightarrow x\ge \frac{20}{5}$ [ Divide by$5$both sides ]
$\therefore x\ge 4$

Hence, we can buy at least $4$ packs of baseball cards