(a) Model this scenario with a system of equations.
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Imagine you’re organizing a fun bake sale, and you have cookies and brownies to sell. Let’s say you have 100 treats in total, with cookies priced at $2 each and brownies at $3 each. If you want to raise $240 from the sale, we can set up our equations like this: Let \( x \) be the number of cookies and \( y \) be the number of brownies. Then we have two equations: 1. \( x + y = 100 \) (total treats) 2. \( 2x + 3y = 240 \) (total revenue) Now, you've got a great model to work with! In your quest to solve these equations, don’t forget to check for any common mistakes that could trip you up. For example, be cautious with combining like terms and with substitution methods; ensure you correctly isolate variables before plugging values back in. Attention to detail is key! Happy solving!