Question

Tanya is baking vanilla and chocolate cupcakes for a school event. She needs at least 250 muffins for the event. Let v represent vanilla cupcakes and let c represent chocolate cupcakes.

Write an inequality in two variables that represents the scenario.

Answer 1

To represent Tanya's baking situation mathematically, you would use the inequality v + c ≥ 250, where v is the number of vanilla cupcakes and c is the number of chocolate cupcakes. This ensures she has at least 250 cupcakes in total for the school event.

Step-by-step explanation:

Tanya is preparing to bake cupcakes for a school event and she needs to ensure that she bakes at least 250 cupcakes in total. To represent this situation as a mathematical inequality involving two variables, where v represents the number of vanilla cupcakes and c represents the number of chocolate cupcakes, the inequality would be:

v + c ≥ 250

This inequality says that the sum of the vanilla and chocolate cupcakes (v plus c) should be greater than or equal to 250. The inequality represents the condition that she needs at least 250 muffins for the event, regardless of the flavor.

In this can be explained by three main steps:

1. Identify the variables for the different flavors of cupcakes: vanilla cupcakes (v) and chocolate cupcakes (c).
2. Understand the desired total amount of cupcakes which is at least 250.
3. Formulate the inequality using the variables and the total amount: v + c ≥ 250.