Question

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

Answer 1

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

Answer 2

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* 8\leq 70\\\\\Rightarrow 30+8x\leq 70\\\\\Rightarrow 8x\leq 70-30\\\\\Rightarrow 8x\leq 40\\\\\Rightarrow x\leq (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.