Mrs. Hogan is making treats for a tea party later this week, and she has up to 12 eggs to use for this purpose. A batch of scones requires 2 eggs and a batch of miniature tarts requires 3 eggs.

Question

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of batches of scones
y = the number of batches of miniature tarts

Answer 1

To represent the situation with an inequality, we will use the following variables:

• Let \( x \) be the number of batches of scones.
• Let \( y \) be the number of batches of miniature tarts.

Each batch of scones requires 2 eggs, so the total number of eggs used for \( x \) batches of scones is \( 2x \).

Each batch of miniature tarts requires 3 eggs, so the total number of eggs used for \( y \) batches of miniature tarts is \( 3y \).

Since Mrs. Hogan has up to 12 eggs, we can set up the inequality based on the total number of eggs used:

\[ 2x + 3y \leq 12 \]

This is the inequality in standard form that describes the situation.