Lavaughn owns a food truck that sells tacos and burritos. He only has enough supplies to make 98 tacos or burritos. He sells each taco for $5 and each burrito for $8.75. Lavaughn must sell a minimum of $730 worth of tacos and burritos each day. If 27 tacos were sold, determine all possible values for the number of burritos that Lavaughn must sell in order to meet the requirements.
Let's denote the number of burritos that Lavaughn must sell as B.
From the information given, we know that:
- He sells each taco for $5, and sold 27 tacos
- He sells each burrito for $8.75
- He must sell a minimum of $730 worth of tacos and burritos each day
- He has enough supplies to make a total of 98 tacos or burritos
Since he sold 27 tacos, the revenue generated from tacos is 27 * $5 = $135.
Let's denote the revenue generated from selling B burritos as 8.75B.
The total revenue from selling tacos and burritos should be greater than or equal to $730:
$135 + $8.75B ≥ $730
$8.75B ≥ $730 - $135
$8.75B ≥ $595
B ≥ $595 / $8.75
B ≥ 68
So, Lavaughn must sell a minimum of 68 burritos in order to meet the requirements.