GIDEAS MATH You sell apple cider for a fundraiser. For each gallon of cider you sell, the company that makes the cider receives \( x \) dollars, and you receive the remaining amount. You sell 15 gallons of cider for \( (15 x+45) \) dollars. How much money do you receive for each gallon of cider that you sell? You receive \( \$ I \).

To find out how much money you receive for each gallon of cider sold, start with the total amount you made from selling 15 gallons of cider, which is given as \(15x + 45\). From this total, the company takes \(15x\) dollars (as they receive \(x\) dollars for each gallon). To calculate your earnings, subtract the company's share from the total earnings: \[ \text{Your Earnings} = (15x + 45) - 15x = 45 \] Since you sold 15 gallons, to find out how much you receive for each gallon, divide your total earnings by the number of gallons: \[ \text{Per Gallon Earnings} = \frac{45}{15} = 3 \] So, you receive \( \$3 \) for each gallon of cider sold! In early American history, apple cider was often referred to as "hard cider" when it underwent fermentation, a popular beverage in colonial times. It was an essential part of daily life, used for refreshment and often safer than water. The drink was so revered that in some towns, it was brewed in large batches akin to beer. Apple cider has received a resurgence in popularity due to its versatility in recipes, from savory dishes to sweet desserts. In recent years, it's been embraced for making cocktails and even as a base for sauces. Plus, with local farms hosting cider-pressing events, the experience of apple cider has become a community affair, drawing in families for fun, food, and, of course, great-tasting cider—all while supporting local economies!