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Write and Solve Multi-Step Equations - Quir - Level G Rory sold T-shirts at a festival for \( \$ 15 \) each. He paid \( \$ 100 \) in materials and fees. Rory's profit after the festival was \( \$ 350 \). He wants to know how many shirts he sold. Which quantity is unknown? the number of shirts sold Let \( s \) equal the number of shirts sold. Which equation represents the situation? \( 15 s=350 \) \( 15 s-100=350 \) \( s-100=350 \) \( 15(s-100)=350 \)

Ask by Hilton Colon. in the United States
Feb 03,2025

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Rory sold 30 T-shirts. **Equation:** \[ 15s - 100 = 350 \] **Solution:** \[ s = 30 \]

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The Deep Dive

Rory's equation should account for his total profit after subtracting his initial costs. The profit can be expressed as the total revenue from the T-shirts (price per shirt times the number sold) minus his expenses. Thus, the correct equation that represents the situation is: \( 15s - 100 = 350 \) To solve for \( s \), Rory should first add his expenses to both sides of the equation: \[ 15s - 100 + 100 = 350 + 100 \] This simplifies to: \[ 15s = 450 \] Next, divide both sides by 15 to isolate \( s \): \[ s = \frac{450}{15} \] This gives: \[ s = 30 \] So, Rory sold 30 T-shirts. To jazz it up a bit, if Rory had a magic number and each shirt was like treasured candy, selling 30 of them meant he turned his initial investment into quite the sweet profit! Who'd have thought T-shirt sales could lead to such a fruitful festival? Now, speaking of events like Rory's, don't forget that those small costs can sneak up on you! One common mistake is not factoring in all expenses; sometimes it's just a little fee that can eat into your profits bigger than you expect! Always tally everything up for clarity!

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