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what is the approximate percent decrease from 1,865 to 1,240? \\\\text{…

Question

what is the approximate percent decrease from 1,865 to 1,240?

\\\text{percent decrease} = \frac{\text{amount of decrease}}{\text{original amount}}\\

33.5%
50%
66.5%
150%

Explanation:

Response

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<reasoning>

Identify the given values

Using the Percent Decrease Estimation knowledge point
\[

$$\begin{aligned} &\text{Original Amount} = 1,865\\ &\text{New Amount} = 1,240 \end{aligned}$$

\]

Calculate the amount of decrease

Using the Percent Decrease Estimation knowledge point
\[

$$\begin{aligned} \text{Amount of Decrease} &= 1,865 - 1,240\\ &= 625 \end{aligned}$$

\]

Calculate the percent decrease

Using the Percent Decrease Estimation knowledge point
\[

$$\begin{aligned} \text{Percent Decrease} &= \frac{625}{1,865}\\ &\approx 0.33512\\ &\approx 33.5\% \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-correct>(A) 33.5%</mcq-correct>
<mcq-option>(B) 50%</mcq-option>
<mcq-option>(C) 66.5%</mcq-option>
<mcq-option>(D) 150%</mcq-option>
</answer>

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Answer:

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<reasoning>

Identify the given values

Using the Percent Decrease Estimation knowledge point
\[

$$\begin{aligned} &\text{Original Amount} = 1,865\\ &\text{New Amount} = 1,240 \end{aligned}$$

\]

Calculate the amount of decrease

Using the Percent Decrease Estimation knowledge point
\[

$$\begin{aligned} \text{Amount of Decrease} &= 1,865 - 1,240\\ &= 625 \end{aligned}$$

\]

Calculate the percent decrease

Using the Percent Decrease Estimation knowledge point
\[

$$\begin{aligned} \text{Percent Decrease} &= \frac{625}{1,865}\\ &\approx 0.33512\\ &\approx 33.5\% \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-correct>(A) 33.5%</mcq-correct>
<mcq-option>(B) 50%</mcq-option>
<mcq-option>(C) 66.5%</mcq-option>
<mcq-option>(D) 150%</mcq-option>
</answer>

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