Question

Nancy is inviting people to her parents' anniversary party and wants to stay at or below her budget of $6,500 for the food. The cost will be $47 for each adult's meal and $17 for each child's meal.
Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of adults
y = the number of children

Answer 1

To express Nancy's budget situation in terms of an inequality, we start with the cost per meal for adults and children, and relate them to the budget.

1. The cost of each adult's meal is $47, so the total cost for adults is \(47x\) (where \(x\) is the number of adults).
2. The cost of each child's meal is $17, so the total cost for children is \(17y\) (where \(y\) is the number of children).
3. Nancy's total cost for food must remain at or below her budget of $6,500.

We can express this relationship with the inequality:

\[
47x + 17y \leq 6500
\]

This is the inequality in standard form that describes the situation Nancy is in regarding her parents' anniversary party budget.