A principal has given a class $75 to help pay for the field trip to a zoo. The students in class are selling pies for $5 each to earn the rest of the money they need. The field trip will cost a total of $386. Which inequality can be used to find p, the number of pies the class needs to sell in order to earn enough money to pay for the field trip?

Question

A principal has given a class $75 to help pay for the field trip to a zoo. The students in class are selling pies for $5 each to earn the rest of the money they need. The field trip will cost a total of $386. Which inequality can be used to find p, the number of pies the class needs to sell in order to earn enough money to pay for the field trip?
A. 5px + 75 ≤ 386 
B. 5p + 75  ≥ 386 
C. 75p + 5  ≥ 386 
D. 75p + 5 ≤ 386

GPT-4o mini · Answer

To find the number of pies $ p $ the class needs to sell in order to pay for the field trip, we start with the total cost of the trip, which is $386. The principal has already provided $75 for the trip. The money earned from selling pies is $ 5p $, where $ p $ is the number of pies sold. To determine how much more money is needed after the principal's contribution, we can set up the equation based on the total cost: Total money contributed by the class (from pies and principal) needs to be at least equal to the cost of the trip, which gives us the following expression: $$ 5p + 75 \geq 386 $$ Rearranging this inequality will indicate how much money needs to be earned from selling pies after accounting for the contribution from the principal. Thus, the appropriate inequality to find $ p $ is: **B. $ 5p + 75 \geq 386 $**