Felipe is planning a party. He has \( \$ 50.00 \) to spend on sandwiches that cost \( \$ 2.50 \) per person, \( \$ 25.00 \) to spend on drinks that cost \( \$ 1.50 \) per person, and \( \$ 25.00 \) to spend on gift bags that cost \( \$ 3.00 \) per person. Which expression could be used to show the amount of money he will have left over if \( x \) people attend the party? \( 50+7 x \) \( 100-7 x \) \( 2.50 x+1.50 x+3.00 x \) \( 100-(2.50 x-1.50 x-3.00 x) \)
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Let's break this down! The total cost for sandwiches, drinks, and gift bags can be calculated by multiplying the costs by the number of attendees \( x \). The total expense is \( (2.50 + 1.50 + 3.00)x = 7.00x \). Felipe starts with \( 100 \) dollars (\$50 for sandwiches + \$25 for drinks + \$25 for gift bags). So, the amount left after spending on the party can be expressed as \( 100 - 7x \), which is the clear choice in this scenario! And here’s a fun fact: Budgeting for a party can sometimes feel like science! It's all about balancing your income (or your wallet's weight) against your expenses (the delicious food and fun!). Keep those balances in check, and you may even have cash left over for unexpected party fun!