a principal has given a class $75 to help pay for a field trip to a zoo the students in the class are selling pies for $5 each to ern the rest of the money they need the field trip will coast a total of $386

which inequality can be used yo find p the number of pies the class needs to sell in order to earn enough money to pay for the field trip?

1 answer

To determine the number of pies \( p \) the class needs to sell to cover the cost of the field trip, we can set up an inequality based on the information provided.

  1. The total cost of the field trip is $386.
  2. The principal has already given the class $75.
  3. The remainder of the cost that needs to be covered by selling pies is therefore \( 386 - 75 = 311 \).
  4. Each pie sells for $5, so the revenue from selling \( p \) pies is \( 5p \).

To ensure that the money from the pies covers the remaining cost, we need the revenue from the pies to be greater than or equal to the remaining cost:

\[ 5p \geq 311 \]

This inequality can be used to find \( p \), the number of pies the class needs to sell to earn enough money for the field trip.