Question

The soccer team is selling bags of popcorn for $3 each and cups of lemonade for $2 each. To make a profit they must collect a total of more than $120. Write an inequality to represent the number of bags of popcorn sold, p, and the number of cups of lemonade sold, c, in order to make a profit.

Answer 1

Given :

The soccer team is selling bags of popcorn for $3 each and cups of lemonade for $2 each.

To make a profit they must collect a total of more than $120.

To Find :

Write an inequality to represent the number of bags of popcorn sold, p, and the number of cups of lemonade sold, c, in order to make a profit.

Solution :

Let, number of popcorn sold is p and number of cups of lemonade sold is c.

So, total money earned is :

T = 3p + 2c

Now, it is given that to make a profit they must collect a total of more than $120 i.e total revenue should be greater than $120.

So,

T ≥ $120

3p + 2c ≥ 120

Hence, this is the required solution.