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A family's home is currently worth , which is lower than the home was worth when they bought it. What was the value of the home when they bought it?
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Q. A family's home is currently worth , which is lower than the home was worth when they bought it. What was the value of the home when they bought it?
- Understanding Original Value: To find the original value of the home, we need to understand that the current value represents of the original value, since it has decreased by . We can represent the original value as .
- Denoting Original Value: Let's denote the original value of the home as ' extit{V}'. Since the current value is less than the original value, we can write the equation: .
- Calculating Original Value: To find the original value ' extit{V}', we need to divide the current value by . So, .
- Checking Calculation: Performing the division, we get (rounded to the nearest dollar).
- Checking Calculation: Performing the division, we get (rounded to the nearest dollar).We should check our calculation to ensure there are no math errors. If we take of , we get . Subtracting that from should give us the current value of ., which matches the given current value, confirming our calculation is correct.
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