Pregunta
A computer is on sale for \( \$ 1075 \). If the original price was reduced by \( 50 \% \), what was the original price of the computer?
Ask by Simpson Lowe. in the United States
Jan 24,2025
Solución de tutoría real
Respuesta verificada por el tutor
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The original price of the computer was \$2,150.
Solución
To determine the original price of the computer before a 50% reduction, we can set up the following equation:
Let \( x \) be the original price.
A 50% reduction means the sale price is 50% of the original price:
\[
0.5x = \$1075
\]
To find \( x \), divide both sides of the equation by 0.5:
\[
x = \frac{\$1075}{0.5} = \$2150
\]
**The original price of the computer was \$2,150.**
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Mind Expander
To find the original price of the computer before the \( 50\% \) reduction, you can start by realizing that the sale price represents \( 50\% \) of the original price. Therefore, if the sale price is \( \$ 1075 \), that means it is equal to half of the original price. To find the full (original) price, you can simply multiply the sale price by \( 2 \). \[ \text{Original Price} = \$ 1075 \times 2 = \$ 2150 \] So, the original price of the computer was \( \$ 2150 \).
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