Jamal has $15.00 to spend at the Owl's nest. He buys nachos for $7.50 and he wants to purchase some boxes of candy for $1.75 each. Which inequality can be used to determine the number of boxes of candy he can purchase?

Question

7.50-1.75<_15
7.50+1.75x>_
7.50-1.75x>_15
7.50+1.75x<_15

Answer 1

To determine how many boxes of candy Jamal can purchase after buying nachos, we start by noting that he spends $7.50 on nachos. The total amount he can spend is $15.00.

Let \( x \) be the number of boxes of candy he wants to buy, each costing $1.75. After spending $7.50 on nachos, the amount he has left to spend on candy is \( 15.00 - 7.50 = 7.50 \).

The inequality that represents this situation is:

\[ 1.75x \leq 7.50 \]

To rewrite this in a way that includes the nachos already bought, we add the expense for nachos:

\[ 7.50 + 1.75x \leq 15.00 \]

Thus, the correct inequality from the options provided is:

\[ 7.50 + 1.75x \leq 15 \]

So, the answer is:

7.50 + 1.75x ≤ 15