2. Marcus is selling lemonade and peanuts. Each cup of lemonade costs \( \$ 0.75 \), and each bag of peanuts costs \( \$ 0.35 \). On Saturday, Marcus sold 5 more cups of lemonade than bags of peanuts. He earned \( \$ 7.05 \). How many cups of lemonade did Marcus sell on Saturday?
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Let's set up some equations to solve the problem. Let \( x \) represent the number of bags of peanuts sold. Since Marcus sold 5 more cups of lemonade than bags of peanuts, the number of cups of lemonade sold would be \( x + 5 \). We can express the total sales in terms of the prices and quantities sold: \[ 0.75(x + 5) + 0.35x = 7.05 \] Now, distribute and combine like terms: \[ 0.75x + 3.75 + 0.35x = 7.05 \] Combine the terms involving \( x \): \[ 1.1x + 3.75 = 7.05 \] Subtract \( 3.75 \) from both sides: \[ 1.1x = 3.30 \] Now, divide both sides by \( 1.1 \): \[ x = 3 \] So, Marcus sold 3 bags of peanuts. To find the number of cups of lemonade, we add 5 to \( x \): \[ x + 5 = 3 + 5 = 8 \] Thus, Marcus sold **8 cups of lemonade** on Saturday! 🍋✨