Question

freddy is buying wings and nachos for a party. a box of 10 wings cost $7.00. nachos cost $4.00 per tray. he must spend less than $40 on the wings and nachos. using x to represent each box of wings and y to represent each tray of nachos, create an inequality that correctly represents the possible number of boxes of wings and trays of nachos freddy can buy and still be within his budgets.

Explanation:

Step1: Define Variables and Costs

Let \( x \) = number of wing boxes, \( y \) = number of nacho trays.
Wings cost \( \$7 \) per box, nachos \( \$4 \) per tray.

Step2: Total Cost Expression

Total cost = \( 7x + 4y \).

Step3: Budget Constraint

He spends less than \( \$40 \), so:
\( 7x + 4y < 40 \)

Answer:

The inequality is \( \boldsymbol{7x + 4y < 40} \)