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Apply it Use what you learned to solve these problems. (6) Teresa has some photos on her computer on Monday on Tuesdey, she downterat 24 new photos. Then she deletes 9 photos. She ends up with 33 photos Explain how the equationp \( +24-9-33 \) represents the situation. Then solve the equation for the variable \( p \) and interpret the solution.

Ask by Hall Reese. in the United States
Feb 28,2025

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Answer

Teresa originally had 18 photos on her computer on Monday.

Solution

The equation p + 24 – 9 = 33 models the situation step-by-step: 1. p represents the number of photos Teresa originally had on Monday. 2. On Tuesday, she downloaded 24 new photos, so you add 24 to her original total. 3. Then she deleted 9 photos, so you subtract 9. 4. The final total of her photos is 33. This gives you the equation:   p + 24 – 9 = 33 Now, simplify the equation by combining the constant terms:   p + 15 = 33 To solve for p, subtract 15 from both sides:   p = 33 – 15   p = 18 Interpretation of the solution: Teresa originally had 18 photos on her computer on Monday.

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Let’s break it down! The equation \( p + 24 - 9 = 33 \) starts with \( p \), which represents the number of photos Teresa originally had. She adds 24 photos on Tuesday and then deletes 9, which gives us the final count of 33 photos. To solve for \( p \), rearrange the equation: 1. Combine the additions and subtractions: \( p + 15 = 33 \) (because \( 24 - 9 = 15 \)). 2. Subtract 15 from both sides to get \( p = 33 - 15 \), leading to \( p = 18 \). So, Teresa originally had 18 photos on her computer! To visualize it, picture Teresa playing a photo game: she starts at level 18, levels up by collecting 24 new gems, but then has to lose 9 in the digital deletion dungeon, and she ends up at level 33, victorious! 🎉

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