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?

Answer 1

To determine how many boxes of candy Jamal can purchase, we can set up an inequality based on his total budget and his spending.

1. Jamal starts with $15.00.
2. He spends $7.50 on nachos.
3. The price of each box of candy is $1.75.
4. Let \( x \) represent the number of boxes of candy he wants to buy.

After buying the nachos, the amount of money Jamal has left is:

\[ 15.00 - 7.50 = 7.50 \]

Now, we want to establish an inequality that represents the cost of the boxes of candy he can buy without exceeding his remaining money. The total cost for \( x \) boxes of candy is \( 1.75x \). The inequality can be set up as follows:

\[ 1.75x \leq 7.50 \]

This inequality ensures that the total cost of the boxes of candy does not exceed the amount of money Jamal has left after purchasing the nachos.

So, the final inequality is:

\[ 1.75x \leq 7.50 \]