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?
Answers
Answer:
Answer: The correct option is (B) x\leq 5.x≤5.
Step-by-step explanation: Given that Kylie has 70 to spend on clothes. She wants to buy a pair of jeans for70tospendonclothes.Shewantstobuyapairofjeansfor30 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
\begin{gathered}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.\end{gathered}
30+x×8≤70
⇒30+8x≤70
⇒8x≤70−30
⇒8x≤40
⇒x≤
8
40
⇒x≤5.
Thus, the required inequality that represents the number of t-shirts she can purchase is x\leq 5.x≤5.
Step-by-step explanation:
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