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:

$$2x+3y\le 12$$

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