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Kylie has $70 to spend on clothes. She wants to buy a pair of jeans for $30 and spend the rest on t-shirts. Each t-shirt costs $8. Which inequality represents the number of t-shirts she can purchase?


x ≥ 5

x ≤ 5

x ≤ 11

x ≥ 11

Verified Answer :

It would be x≤5. She can get the maximum of 5 shirts, or less. 

Answer:  The correct option is (B) \(x\leq 5.\)

Step-by-step explanation:  Given that Kylie has $70 to spend on clothes. She wants to buy a pair of jeans for $30 and spend the rest on t-shirts where each t-shirt costs $8.

We are to select the inequality that represents the number of t-shirts she can purchase.

Let x denote the number of t-shirts that she can buy.

Then, according to the given information, we have

\(30+x\times 8\leq 70\\\\\Rightarrow 30+8x\leq 70\\\\\Rightarrow 8x\leq 70-30\\\\\Rightarrow 8x\leq 40\\\\\Rightarrow x\leq \dfrac{40}{8}\\\\\Rightarrow x\leq5.\)

Thus, the required inequality that represents the number of t-shirts she can purchase is \(x\leq 5.\)

Option (B) is CORRECT.

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