Question

Tammy Sue bakes and sells cookies. She begins the week with 64 eggs. Each batch of cookies uses 3 eggs. She will order more eggs when she has fewer than 14 eggs left.

A. Fill in the inequality symbol: Number of eggs she has ______ Number to order at.
a) <
b) >
c) =
d) ≤
B. Write an inequality to represent the situation.
C. Solve for x.
D. Tammy Sue will need to order more eggs after baking ______ batches of cookies.

Answer 1

Tammy Sue will need to order more eggs when the number of eggs she has is less than 14. The inequality representing this situation is 64 - 3x < 14, and after solving for x, it's clear that she will need to order more eggs after baking 16 batches of cookies.

Step-by-step explanation:

The student's question involves determining when Tammy Sue needs to order more eggs based on the number of eggs she starts with and the number used in each batch of cookies. To answer the question, we follow several steps:

1. Fill in the inequality symbol: The number of eggs Tammy Sue has should be less than the number to order at, which gives us the inequality symbol < (less than).
2. Write an inequality: If Tammy Sue starts with 64 eggs and each batch uses 3 eggs, we can write the inequality as 64 - 3x < 14, where x represents the number of batches made.
3. Solve for x: To find the value of x, we can rearrange the inequality to solve it:
   
   64 - 14 > 3x
   
   50 > 3x
   
   x < 50/3
   
   x < 16.6667
4. Determine the number of batches: Since x represents the number of full batches that can be made before ordering more eggs, and x must be a whole number, Tammy Sue will need to order more eggs after baking 16 batches of cookies.