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

Respuesta :

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

Answer:  The correct option is (B) [tex]x\leq 5.[/tex]

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

[tex]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.[/tex]

Thus, the required inequality that represents the number of t-shirts she can purchase is [tex]x\leq 5.[/tex]

Option (B) is CORRECT.